RESULTS BOX:
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
To log in and use all the features of Khan Academy, please enable JavaScript in your browser.
About this unit.
In this topic, we will explore fractions conceptually and add, subtract, multiply, and divide fractions.
Last Updated: May 29, 2024 Fact Checked
This article was co-authored by Mario Banuelos, PhD and by wikiHow staff writer, Sophia Latorre . Mario Banuelos is an Associate Professor of Mathematics at California State University, Fresno. With over eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models for genome evolution, and data science. Mario holds a BA in Mathematics from California State University, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario has taught at both the high school and collegiate levels. There are 7 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 1,214,495 times.
Fraction questions can look tricky at first, but they become easier with practice and know-how. Start by learning the terminology and fundamentals, then pratice adding, subtracting, multiplying, and dividing fractions. [1] X Research source Once you understand what fractions are and how to manipulate them, you'll be breezing through fraction problems in no time.
Joseph Meyer
Think about fractions as portions of a whole. Imagine dividing objects like pizzas or cakes into equal parts. Visualizing fractions this way improves comprehension, compared to relying solely on memorization. This approach can be helpful when adding, subtracting, and comparing fractions.
Tip: Typically, you'll need to convert mixed numbers to improper fractions if you're multiplying or dividing them.
To solve a fraction multiplication question in math, line up the 2 fractions next to each other. Multiply the top of the left fraction by the top of the right fraction and write that answer on top, then multiply the bottom of each fraction and write that answer on the bottom. Simplify the new fraction as much as possible. To divide fractions, flip one of the fractions upside-down and multiply them the same way. If you need to add or subtract fractions, keep reading! Did this summary help you? Yes No
Sebastian Maxwell
Jun 1, 2017
Jul 19, 2017
Sep 16, 2017
Kamaria Albert
Feb 28, 2017
Oct 17, 2016
Get all the best how-tos!
Sign up for wikiHow's weekly email newsletter
Home / United States / Math Classes / 5th Grade Math / Problem Solving using Fractions
Fractions are numbers that exist between whole numbers. We get fractions when we divide whole numbers into equal parts. Here we will learn to solve some real-life problems using fractions. ...Read More Read Less
Types of fractions.
Equal parts of a whole or a collection of things are represented by fractions . In other words a fraction is a part or a portion of the whole. When we divide something into equal pieces, each part becomes a fraction of the whole.
For example in the given figure, one pizza represents a whole. When cut into 2 equal parts, each part is half of the whole, that can be represented by the fraction \(\frac{1}{2}\) .
Similarly, if it is divided into 4 equal parts, then each part is one fourth of the whole, that can be represented by the fraction \(\frac{1}{4}\) .
Proper fractions
A fraction in which the numerator is less than the denominator value is called a proper fraction.
For example , \(\frac{3}{4}\) , \(\frac{5}{7}\) , \(\frac{3}{8}\) are proper fractions.
Improper fractions
A fraction with the numerator higher than or equal to the denominator is called an improper fraction .
Eg \(\frac{9}{4}\) , \(\frac{8}{8}\) , \(\frac{9}{4}\) are examples of improper fractions.
Mixed fractions
A mixed number or a mixed fraction is a type of fraction which is a combination of both a whole number and a proper fraction.
We express improper fractions as mixed numbers.
For example , 5\(\frac{1}{3}\) , 1\(\frac{4}{9}\) , 13\(\frac{7}{8}\) are mixed fractions.
Unit fraction
A unit fraction is a fraction with a numerator equal to one. If a whole or a collection is divided into equal parts, then exactly 1 part of the total parts represents a unit fraction .
Like fractions are those in which two or more fractions have the same denominator, whereas unlike fractions are those in which the denominators of two or more fractions are different.
For example,
\(\frac{1}{4}\) and \(\frac{3}{4}\) are like fractions as they both have the same denominator, that is, 4.
\(\frac{1}{3}\) and \(\frac{1}{4}\) are unlike fractions as they both have a different denominator.
We can perform addition, subtraction, multiplication and division operations on fractions.
Fractions with unlike denominators can be added or subtracted using equivalent fractions. Equivalent fractions can be obtained by finding a common denominator. And a common denominator is obtained either by determining a common multiple of the denominators or by calculating the product of the denominators.
There is another method to add or subtract mixed numbers, that is, solve the fractional and whole number parts separately, and then, find their sum to get the final answer.
Division operations on fractions can be performed using a tape diagram and area model. Also, when a fraction is divided by another fraction then we can solve it by multiplying the dividend with the reciprocal of the divisor.
Addition and subtraction using common denominator
( \(\frac{1}{6} ~+ ~\frac{2}{5}\) )
We apply the method of equivalent fractions. For this we need a common denominator, or a common multiple of the two denominators 6 and 5, that is, 30.
\(\frac{1}{6} ~+ ~\frac{2}{5}\)
= \(\frac{5~+~12}{30}\)
= \(\frac{17}{30}\)
( \(\frac{5}{2}~-~\frac{1}{6}\) )
= \(\frac{12~-~5}{30}\)
= \(\frac{7}{30}\)
Examples of Multiplication and Division
Multiplication:
(\(\frac{1}{6}~\times~\frac{2}{5}\))
= (\(\frac{1~\times~2}{6~\times~5}\)) [Multiplying numerator of fractions and multiplying denominator of fractions]
= \(\frac{2}{30}\)
(\(\frac{2}{5}~÷~\frac{1}{6}\))
= (\(\frac{2 ~\times~ 5}{6~\times~ 1}\)) [Multiplying dividend with the reciprocal of divisor]
= (\(\frac{2 ~\times~ 6}{5 ~\times~ 1}\))
= \(\frac{12}{5}\)
Example 1: Solve \(\frac{7}{8}\) + \(\frac{2}{3}\)
Let’s add \(\frac{7}{8}\) and \(\frac{2}{3}\) using equivalent fractions. For this we need to find a common denominator or a common multiple of the two denominators 8 and 3, which is, 24.
\(\frac{7}{8}\) + \(\frac{2}{3}\)
= \(\frac{21~+~16}{24}\)
= \(\frac{37}{24}\)
Example 2: Solve \(\frac{11}{13}\) – \(\frac{12}{17}\)
Solution:
Let’s subtract \(\frac{12}{17}\) from \(\frac{11}{13}\) using equivalent fractions. For this we need a common denominator or a common multiple of the two denominators 13 and 17, that is, 221.
\(\frac{11}{13}\) – \(\frac{12}{17}\)
= \(\frac{187~-~156}{221}\)
= \(\frac{31}{221}\)
Example 3: Solve \(\frac{15}{13} ~\times~\frac{18}{17}\)
Multiply the numerators and multiply the denominators of the 2 fractions.
\(\frac{15}{13}~\times~\frac{18}{17}\)
= \(\frac{15~~\times~18}{13~~\times~~17}\)
= \(\frac{270}{221}\)
Example 4: Solve \(\frac{25}{33}~\div~\frac{41}{45}\)
Divide by multiplying the dividend with the reciprocal of the divisor.
\(\frac{25}{33}~\div~\frac{41}{45}\)
= \(\frac{25}{33}~\times~\frac{41}{45}\) [Multiply with reciprocal of the divisor \(\frac{41}{45}\) , that is, \(\frac{45}{41}\) ]
= \(\frac{25~\times~45}{33~\times~41}\)
= \(\frac{1125}{1353}\)
Example 5:
Sam was left with \(\frac{7}{8}\) slices of chocolate cake and \(\frac{3}{7}\) slices of vanilla cake after he shared the rest with his friends. Find out the total number of slices of cake he had with him. Sam shared \(\frac{10}{11}\) slices from the total number he had with his parents. What is the number of slices he has remaining?
To find the total number of slices of cake he had after sharing we need to add the slices of each cake he had,
= \(\frac{7}{8}\) + \(\frac{3}{7}\)
= \(\frac{49~+~24}{56}\)
= \(\frac{73}{56}\)
To find out the remaining number of slices Sam has \(\frac{10}{11}\) slices need to be deducted from the total number,
= \(\frac{73}{56}~-~\frac{10}{11}\)
= \(\frac{803~-~560}{616}\)
= \(\frac{243}{616}\)
Hence, after sharing the cake with his friends, Sam has \(\frac{73}{56}\) slices of cake, and after sharing with his parents he had \(\frac{243}{616}\) slices of cake left with him.
Example 6: Tiffany squeezed oranges to make orange juice for her juice stand. She was able to get 25 ml from one orange. How many oranges does she need to squeeze to fill a jar of \(\frac{15}{8}\) liters? Each cup that she sells carries 200 ml and she sells each cup for 64 cents. How much money does she make at her juice stand?
First \(\frac{15}{8}\) l needs to be converted to milliliters.
\(\frac{15}{8}\)l into milliliters = \(\frac{15}{8}\) x 1000 = 1875 ml
To find the number of oranges, divide the total required quantity by the quantity of juice that one orange can give.
The number of oranges required for 1875 m l of juice = \(\frac{1875}{25}\) ml = 75 oranges
To find the number of cups she sells, the total quantity of juice is to be divided by the quantity of juice that 1 cup has
= \(\frac{1875}{200}~=~9\frac{3}{8}\) cups
We know that, the number of cups cannot be a fraction, it has to be a whole number. Also each cup must have 200ml. Hence with the quantity of juice she has she can sell 9 cups, \(\frac{3}{8}\) th of a cup cannot be sold alone.
Money made on selling 9 cups = 9 x 64 = 576 cents
Hence she makes 576 cents from her juice stand.
A mixed fraction is a number that has a whole number and a fractional part. It is used to represent values between whole numbers.
When adding fractions with unlike denominators, take the common multiple of the denominators of both the fractions and then convert them into equivalent fractions.
Grades 1 - 12
Level 1 - 10
In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
1. Nairitee took \(\frac{7}{8}\) hour to paint a table and \(\frac{2}{3}\) hour to paint a chair. How much time did he take in painting both items?
Total time taken in painting both items = \(\frac{7}{8}\) h + \(\frac{2}{3}\) h = (\(\frac{7}{8}\) + \(\frac{2}{3}\)) h
= (\(\frac{21 + 16}{24}\)) h
= \(\frac{37}{24}\) h
= 1\(\frac{13}{24}\) h
Therefore, Nairitee took 1\(\frac{13}{24}\) hours in painting both items.
2. Nitheeya and Nairitee \(\frac{3}{10}\) and \(\frac{1}{6}\) of a cake respectively. What portion of the cake did they eat together?
The portion of cake ate by Nitheeya = \(\frac{3}{10}\)
The portion of cake ate by Nitheeya = \(\frac{1}{6}\) The portion they ate together = \(\frac{3}{10}\) + \(\frac{1}{6}\)
= \(\frac{9}{30}\) + \(\frac{5}{30}\); [Since, LCM of 10 and 6 = 30]
= \(\frac{9 + 5}{30}\)
= \(\frac{14}{30}\)
= \(\frac{7}{15}\)
Therefore, together Nitheeya and Nairitee ate \(\frac{7}{15}\) of the cake.
3. Rachel took \(\frac{1}{2}\) hour to paint a table and \(\frac{1}{3}\) hour to paint a chair. How much time did she take in all?
Time taken to paint a table = \(\frac{1}{2}\) hour Time taken to paint a chair = \(\frac{1}{3}\) hour Total time taken = \(\frac{1}{2}\) hour + \(\frac{1}{3}\) hour = \(\frac{5}{6}\) hour | \(\frac{1}{2}\) + \(\frac{1}{3}\) L.C.M. of 2, 3 is 6. = \(\frac{3}{6}\) + \(\frac{2}{6}\) \(\frac{1 × 3}{2 × 3}\) = \(\frac{3}{6}\) \(\frac{1 × 2}{3 × 2}\) = \(\frac{2}{6}\) |
1. Out of \(\frac{12}{17}\) m of cloth given to a tailor, \(\frac{1}{5}\) m were used. Find the length of cloth unused.
Length of the cloth given to the tailors = \(\frac{12}{17}\) m
Length of cloth used = \(\frac{1}{5}\) m
Length of the unused cloth = \(\frac{12}{17}\) m - \(\frac{1}{5}\) m
= (\(\frac{12}{17}\) - \(\frac{1}{5}\)) m
= (\(\frac{12 × 5}{17 × 5}\) - \(\frac{1 × 17}{5 × 17}\)) m; [Since, LCM of 17 and 5 = 85]
= (\(\frac{60}{85}\) - \(\frac{17}{85}\)) m
= (\(\frac{60 - 17}{85}\) m
= (\(\frac{43}{85}\) m
2. Nairitee has $6\(\frac{4}{7}\). She gives $4\(\frac{2}{3}\) to her mother. How much money does she have now?
Money with Nairitee = $6\(\frac{4}{7}\)
Money given to her mother = $4\(\frac{2}{3}\)
Money left with Nairitee = $6\(\frac{4}{7}\) - $4\(\frac{2}{3}\)
= $(6\(\frac{4}{7}\) - 4\(\frac{2}{3}\))
= $(\(\frac{46}{7}\) - \(\frac{14}{3}\))
= $(\(\frac{46 × 3}{7 × 3}\) - \(\frac{14 × 7}{3 × 7}\)) ; [Since, LCM of 7 and 3 = 21]
= $(\(\frac{138}{21}\) - \(\frac{98}{21}\))
= $\(\frac{40}{21}\)
= $1\(\frac{19}{21}\)
Therefore, Nairitee has $1\(\frac{19}{21}\).
3. If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?
Total length of the wire = 10 m
Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m
Length of the wire left = 10 m – 3\(\frac{1}{2}\) m
= [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m, [L.C.M. of 1, 2 is 2]
= [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m, [\(\frac{10}{1}\) × \(\frac{2}{2}\)]
= [\(\frac{20 - 7}{2}\)] m
= \(\frac{13}{2}\) m
= 6\(\frac{1}{2}\) m
1. \(\frac{4}{7}\) of a number is 84. Find the number. Solution: According to the problem, \(\frac{4}{7}\) of a number = 84 Number = 84 × \(\frac{7}{4}\) [Here we need to multiply 84 by the reciprocal of \(\frac{4}{7}\)]
= 21 × 7 = 147 Therefore, the number is 147.
2. One half of the students in a school are girls, \(\frac{3}{5}\) of these girls are studying in lower classes. What fraction of girls are studying in lower classes?
Fraction of girls studying in school = \(\frac{1}{2}\)
Fraction of girls studying in lower classes = \(\frac{3}{5}\) of \(\frac{1}{2}\)
= \(\frac{3}{5}\) × \(\frac{1}{2}\)
= \(\frac{3 × 1}{5 × 2}\)
= \(\frac{3}{10}\)
Therefore, \(\frac{3}{10}\) of girls studying in lower classes.
3. Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson? Solution: Maddy reads = \(\frac{3}{5}\) of 75 = \(\frac{3}{5}\) × 75
= 45 pages. Maddy has to read = 75 – 45. = 30 pages. Therefore, Maddy has to read 30 more pages.
1. A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd?
Solution: A herd of cows gives 4 litres of milk each day. Each cow gives one-third of total milk each day = \(\frac{1}{3}\) of 4 Therefore, each cow gives \(\frac{4}{3}\) of milk each day. Total no. of cows = 4 ÷ \(\frac{4}{3}\) = 4 × \(\frac{3}{4}\) = 3 Therefore there are 3 cows in the herd.
Worksheet on Word problems on Fractions:
1. Shelly walked \(\frac{1}{3}\) km. Kelly walked \(\frac{4}{15}\) km. Who walked farther? How much farther did one walk than the other?
2. A frog took three jumps. The first jump was \(\frac{2}{3}\) m long, the second was \(\frac{5}{6}\) m long and the third was \(\frac{1}{3}\) m long. How far did the frog jump in all?
3. A vessel contains 1\(\frac{1}{2}\) l of milk. John drinks \(\frac{1}{4}\) l of milk; Joe drinks \(\frac{1}{2}\) l of milk. How much of milk is left in the vessel?
4. Between 4\(\frac{2}{3}\)and 3\(\frac{2}{3}\) which is greater and by how much?
5. What must be subtracted from 5\(\frac{1}{6}\) to get 2\(\frac{1}{8}\)?
Conversion of mixed fractions into improper fractions |solved examples.
To convert a mixed number into an improper fraction, we multiply the whole number by the denominator of the proper fraction and then to the product add the numerator of the fraction to get the numerator of the improper fraction. I
The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.
In 5th Grade Fractions we will discuss about definition of fraction, concept of fractions and different types of examples on fractions. A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient and remainder. Step III: Write the mixed fraction
The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with respect to the whole shape in the figures from (i) to (viii) In; (i) Shaded
To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.
Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example \(\frac{7}{13}\) > \(\frac{2}{13}\) because 7 > 2. In comparison of like fractions here are some
In comparison of fractions having the same numerator the following rectangular figures having the same lengths are divided in different parts to show different denominators. 3/10 3/5 > 3/10 In the fractions having the same numerator, that fraction is
In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced
Like and unlike fractions are the two groups of fractions: (i) 1/5, 3/5, 2/5, 4/5, 6/5 (ii) 3/4, 5/6, 1/3, 4/7, 9/9 In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal. The fractions with the same denominators are called
● Multiplication is Repeated Addition.
● Multiplication of Fractional Number by a Whole Number.
● Multiplication of a Fraction by Fraction.
● Properties of Multiplication of Fractional Numbers.
● Multiplicative Inverse.
● Worksheet on Multiplication on Fraction.
● Division of a Fraction by a Whole Number.
● Division of a Fractional Number.
● Division of a Whole Number by a Fraction.
● Properties of Fractional Division.
● Worksheet on Division of Fractions.
● Simplification of Fractions.
● Worksheet on Simplification of Fractions.
● Word Problems on Fraction.
● Worksheet on Word Problems on Fractions.
5th Grade Numbers
5th Grade Math Problems
From Word Problems on Fraction to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math . Use this Google Search to find what you need.
Share this page: What’s this?
E-mail Address | |
First Name | |
to send you Math Only Math. |
Constructing a line segment |construction of line segment|constructing.
Aug 16, 24 04:35 PM
Aug 14, 24 02:39 AM
Aug 13, 24 01:27 AM
Aug 12, 24 03:20 PM
Aug 12, 24 02:23 AM
© and ™ math-only-math.com. All Rights Reserved. 2010 - 2024.
Child Login
Toss off solutions to our pdf worksheets on dividing fractions word problems to foster a sense of excellence in identifying the dividend and the divisor and solving word problems on fraction division. Equipped with answer key, our worksheets get children in grade 5, grade 6, and grade 7 rattling their way through the division of fractions and mixed numbers in regular and themed problems. A flurry of everyday scenarios, our free worksheet for dividing fractions word problems is worth a shot!
Dividing Fractions and Whole Numbers Word Problems
Prepare the child through and through so they divide fractions and whole numbers with word problems. Let them take the reciprocal of the divisor and multiply it with the dividend, and they’re good to go!
Dividing Fractions by Cross Cancelling Word Problems
Exceed every learning expectation with our dividing fractions word problems worksheets! Apply cross cancellation after inverting the divisor, find products of what's left, and do write the correct units.
Dividing Mixed Numbers Word Problems
Give 5th grade and 6th grade students a good round of practice to hone their skills in fraction division. Convert mixed numbers into improper fractions, and proceed to divide them as usual.
Dividing Mixed Numbers and Fractions Word Problems
The road to mastery in word problems on dividing mixed numbers and fractions is made smooth with our printable worksheets. Read the problems, identify the dividends and divisors, and find the answers.
Themed Fraction Division Word Problems
If grade 6 and grade 7 learners are bent on proving they're real gifted at tackling fraction division, nothing can stop them! With our themed word problems pdfs, problem-solving is at its most exciting.
Related Worksheets
» Adding Fractions Word Problems
» Subtracting Fractions Word Problems
» Multiplying Fractions Word Problems
» Fraction Word Problems
Become a Member
Membership Information
Privacy Policy
What's New?
Printing Help
Testimonial
Copyright © 2024 - Math Worksheets 4 Kids
This is a members-only feature!
In today’s post, we’re going to see how to solve some of the problems that we’ve introduced in Smartick: fraction word problems. They appear during the word problems section at the end of the daily session.
We’re going to look at how to solve problems involving addition and subtraction of fractions, including mixed fractions (the ones that are made up of a whole number and a fraction).
Try and solve the fraction word problems by yourself first, before you look for the solutions and their respective explanations below.
Problem nº 1.
This is an example of a problem involving the addition of a whole number and a fraction.
The simplest way to show the number of cookies I ate is to write it as a mixed number. And the data given in the word problem gives us the result: 9 biscuits and 5 / 6 of a biscuit = 9 5 / 6 biscuits.
In this example, we have to subtract two fractions with the same denominator.
To calculate how full the gas tank is, we have to subtract both fractions. Since we are given fractions, the best way to present the solution is in the form of a fraction. Additionally, we’re dealing with two fractions with the same denominator, so we just have to subtract the numerators of both fractions to get the result. 8 / 10 – 4 / 10 = 4 / 10
This problem requires us to subtract a mixed number and a fraction.
To solve this problem, we need to subtract the number of episodes that were downloaded this morning from the total number of episodes that are now downloaded.
To do this, we need to change the mixed number into a fraction: the 5 becomes 60 / 12 (5 x 12 = 60) and we add it to the fraction 60 / 12 + 8 / 12 = 68 / 12 .
We’ve converted the mixed number 5 8 / 12 to 68 / 12 . Now we just have to subtract the number of episodes that were downloaded yesterday ( 7 / 12 ), 68 / 12 – 7 / 12 = 61 / 12 .
Hopefully, you didn’t need the explanations and were able to solve them yourself without any help!
In the following video tutorials, you can learn a bit more about fractions. And if you would like to learn more math concepts, check out Smartick’s Youtube channel !
If you would like to practice more fraction word problems like these and others, log in to Smartick and enjoy learning math.
Learn More:
Add a new public comment to the blog: Cancel reply
The comments that you write here are moderated and can be seen by other users. For private inquiries please write to [email protected]
Your personal details will not be shown publicly.
I have read and accepted the Privacy and Cookies Policy
It is really great. It helps me a lot. Thank you
Addition worksheets, subtraction worksheets, multiplication worksheets, division worksheets, fact family worksheets, long division worksheets, negative numbers, exponents worksheets, order of operations worksheets, fraction worksheets, fractions worksheets, graphic fractions, equivalent fractions, reducing fractions, comparing fractions, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, fractions as decimals, fraction decimal percent, word problems, pre-algebra word problems, money word problems, combining like terms, properties of multiplication, exponent rules, linear equations, one step equations, two step equations, factoring polynomials, quadratic equations, other worksheets, place value, percentages, rounding numbers, ordering numbers, standard, expanded, word form, mean median mode range, ratio worksheets, probability worksheets, roman numerals, factorization, gcd, lcm, prime and composite numbers, pre-algebra, geometry worksheets, blank clocks, telling analog time, analog elapsed time, greater than and less than, arithmetic sequences, geometric sequences, venn diagram, graph worksheets, measurement & conversions, inches measurement, metric measurement, metric si unit conversions, customary unit conversions, customary and metric, patterns and puzzles, number patterns, patterns with negatives, missing operations, magic square, number grid puzzles, word search puzzles, color by number, addition color by number, subtraction color by number, multiplication color by number, division color by number, color by number, holiday & seasonal, valentine's day, st. patrick's day, thanksgiving, early learning, base ten blocks, printable flash cards, number matching, number tracing, missing numbers, picture math addition, picture math subtraction, picture math multiplication, picture math division, multiplication chart, multiplication table, prime numbers chart, hundreds chart, place value chart, roman numerals chart, handwriting paper, graph paper, coordinate plane, spaceship math check-off, square root chart, fraction chart, probability chart, measurement chart, number line, comic strip template, calculators, age calculator, factoring calculator, fraction calculator, slope calculator, degrees to radians, percentage calculator, prime factorization calculator, roman numeral converter, long division calculator, multiplication calculator, math worksheets by grade, preschool math worksheets, kindergarten math worksheets, 1st grade math worksheets, 2nd grade math worksheets, 3rd grade math worksheets, 4th grade math worksheets, 5th grade math worksheets, 6th grade math worksheets, worksheet news.
Fractions are one of the more challenging math subjects introduced in 3rd or 4th grade, but often students will not master fraction arithmetic until they are nearly ready for middle school. The collection of fractions worksheets on this page start with basic skills such as identifying fractions and converting between equivalent fractions, and then progress through the four basic arithmetic operations. Each section starts with the least complex version of the problems I could devise before introducing more difficult subjects such as improper fractions, mixed numbers, reducing and finding common denominators. There are special sets of worksheets that focus on adding and subtracting fractions with unlike denominators, as well as converting common fractional amounts between their fraction, decimal and percent form.
I'm especially proud of some of these worksheets and they include some of the most detailed and instructive answer keys you're likely to find on fraction worksheets anywhere. When problems need different denominators or require steps like cross cancelling, you'll find those steps broken out in the answer keys. That makes these printable fraction worksheets an incredible practice resource for students to self-check their work.
A great introduction to identifying fractions using pie graphics as models. Students are asked to identify numeric forms of fractions from the graphics, or to draw their own model representations. These are the perfect worksheets to introduce fractions as early as 2nd grade or 3rd grade.
This collection of printable worksheets provides practice identifying fractions on a number line, helping students visualize and understand fraction concepts in relation to whole numbers. Fractions On A Number Line Plotting Fractions V3
These equivalent fractions worksheets teach 4th and 5th grade students how to find equivalent fractions, including both reducing fractions to lower forms as well as changing fractions to less reduced forms. By building familiarity with common equivalent fractions, students learn how to find and recognize the fractions they need when performing other types of fraction arithmetic where different denominators are required.
Practice worksheets for reducing fractions. Different fraction worksheets in this section deal with reducing simple fractions, improper fractions and mixed fractions.
Practice worksheets for comparing fractions. The fraction problems on these sheets require kids to compare like and unlike denominators, improper fractions and mixed fractions.
Worksheets for adding fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Complete work with steps is shown for each problem on the answer keys.
Worksheets for subtracting fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Full answer keys that show work!
These math worksheets provide practice for multiplying fractions. Includes problems with and without wholes, and with and without cross-cancelling. Every PDF fraction worksheet here has a detailed answer key that shows the work required to solve the problem, not just the final product!
Dividing fractions worksheets with two fraction division. Includes simple fractions, mixed fractions and improper fractions, as well as problems that make use of a cross multiply step to solve.
Worksheets for transforming fractions into decimals, including by the use of long division.
These fraction decimal percent worksheets teach 4th and 5th grade students how to convert between different forms for the same fraction quantity, including both reducing fractions to lower forms as well as changing fractions to less reduced forms. These are great worksheets for applying fractions to other common types of math problems, or seeing how a fraction relates to a specific decimal or percentage.
These fraction charts show where specific groups of equivalent fractions land on the number line with their decimal equivalents. Ready to print for free as a student notebook fraction anchor chart, or order it as a beautiful classroom poster!
Online fraction calculator for adding, subtracting, multiplying and dividing mixed and improper fractions. This calculator shows a visual representation of the fraction, making it a great teaching tool for grade school students struggling to visualize fractions.
Copyright 2008-2024 DadsWorksheets, LLC
A great variety of fraction word problems with solutions. These word problems will help you find out when you need to add, subtract, multiply or divide fractions.
1. Sarah knows 8 of the 25 students in her class. Write a fraction showing the number of students Sarah knows.
Solution 8/25
2. Peter correctly solved 18 out of the 20 math problems the teacher gave him. Write a fraction showing the number of math problems Peter solved correctly.
3. Darlene ate 3/5 of her pizza. How much pizza can Darlene share with her sister?
1 represents the entire pizza. To find how much pizza is left, just do 1 - 3/5
1 - 3/5 = 1/1 - 3/5 = 5/5 - 3/5 = 2/5
Darlene can share 2/5 of the pizza.
4. Last week, Steve spent 3 1/2 hours playing soccer and 4 1/2 hours playing table tennis. How much time did Steve spend playing both sports?
Solution Just add 3 1/2 and 4 1/2 together.
3 1/2 + 4 1/2 = (3 + 4) + 1/2 + 1/2 = 7 + 1 = 8 Steve spent 8 hours playing both sports.
5. John jogged 1 3/4 miles yesterday and 2 1/2 miles today. How many miles did John spend jogging for the past two days?
Solution Just add 1 3/4 and 2 1/2 together.
3/4 + 1/2 = 3/4 + 2/4 = 5/4
John jogged 3 5/4 miles for the past two days.
6. Maria bought a pizza and ate half of it. Then, she gave the leftover to his brother and his brother ate half of it. How much of the pizza did his brother eat?
The brother ate half of half the pizza.
Half of half = 1/2 of 1/2 = 1/2 × 1/2 = 1/4
7. Anthony caught some fish that weighted 6 1/2 pounds. If he gave 4 1/4 pounds of fish to some friends, how much fish does he have for himself?
Subtract 4 1/4 from 6 1/2.
1/2 - 1/4 = 2/4 - 1/4 = 1/4
Anthony has 2 1/4 pounds of fish for himself.
8. 1/4 of a tablespoon of baking soda is needed to make a loaf of bread. How many loaves of bread can be made with 5 tablespoons of baking soda?
Divide 5 by 1/4
5 ÷ 1/4 = 5/1 ÷ 1/4 = 5/1 × 4/1 = 20/1 = 20
20 loaves of bread can be made.
9. A recipe calls for 2 1/8 cups of butter for a casserole. How much butter is needed to make 6 1/2 casseroles?
Solution Just multiply 2 1/8 by 6 1/2
2 1/8 × 6 1/2 = (2 × 8 + 1)/8 × (6 × 2 + 1)/2
2 1/8 × 6 1/2 = 17/8 × 13/2 = (17 × 13)/(8 × 2)
2 1/8 × 6 1/2 = 221/16 = 13.8125
To make 6 1/2 casseroles, the recipe will need 13.8125 cups of butter.
10. Kevin cooked 8 1/4 pounds of meat for a dinner. If each serving is 3/4 pound, how many servings did he prepare?
Just divide 8 1/4 by 3/4
8 1/4 ÷ 3/4 = (8 × 4 + 1)/4 ÷ 3/4 = 33/4 ÷ 3/4 = 33/4 × 4/3 = 132/12 = 11
Kevin prepared 11 servings.
Adding fractions word problems
How to divide any number by 5 in 2 seconds.
Feb 28, 24 11:07 AM
Feb 23, 24 04:46 AM
Feb 22, 24 10:07 AM
100 Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!
Recommended
About me :: Privacy policy :: Disclaimer :: Donate Careers in mathematics
Copyright © 2008-2021. Basic-mathematics.com. All right reserved
How to use this page
Decimals & Percents
Kids Math Basic Fractions
Math Flash Cards (Home)
Order Of Operations
Pre-Algebra Equations
Big Number Flash Cards
Exponents & Radicals
Negative Numbers
Inequalities
Printable Fraction Worksheets
Learn Spanish Flash Cards! www.language-cards.com
Special Announcement for Smartphone Users!
Equivalent Fractions Quiz
Simplifying Fractions Quiz
Fraction Addition Quiz
Fraction Multiplication Quiz
Fraction Division Quiz
___ See Decimals & Percentages Page for fraction conversions to percents and decimals ___
for World Environment Day with code NATURE30
Latest updates.
Tag cloud :.
Word Problems on Fractions: A fraction is a mathematical expression for a portion of a whole. Each portion acquired when we divide the entire whole into parts is referred to as a fraction. When we divide a pizza into parts, for example, each slice represents a fraction of the whole pizza. Fractions are subjected to a variety of operations, including addition, subtraction, multiplication, and division. Fractions are used in many real-life situations.
This article will outline how to construct and solve fraction word problems. Students will come across fraction word problems with answers, fraction problem solving and dividing fractions word problems. It is advisable to practice all the problems thoroughly before attempting the exam. Keep reading to know more about word problems on fractions,, definition, types, solved examples and many more
A fraction is a number that is used to expresses a part per whole. Each part obtained when we divide the whole into several parts is called the fraction.
Example: When we cut an apple into two-part, then each part represents the fraction \(\left(\frac{1}{2}\right)\) of the apple.
A fraction consists mainly of two parts, one is the numerator, and the other one is the denominator. The upper part or topmost part of the fraction is called the numerator, and the bottom part or below part is called the denominator.
We have mainly three types of fractions: proper fractions, improper fractions, and mixed fractions. They are categorised by the relationship between the numerator and denominator of the fractions.
The fraction problem solving consist of a few sentences describing a real-life scenario where a mathematical calculation of fraction formulas are used to solve a problem.
Example: Keerthi took one piece of pizza, which is cut into a total of four pieces. Find the fraction of the pizza taken by Keerthi? The fraction of pizza taken by Keerthi \(=\frac{1}{4}\)
Some of the word problems on fractions that uses fraction formula are listed below:
A fraction in which the numerator and the denominator have no common factor other than “one” is said to be the simplest form of fractions.
Example: Divya took \(8\) apples from the bucket of \(24\) apples. Find the fraction of apples taken by the Divya? The fraction of apples taken by Divya \(=\frac{8}{24}\) and its simplest form is \(\frac{1}{3}\)
To add the like fractions (Fractions with the same denominators), keep the denominator the same and add the numerator values of the given fractions.
To add the unlike fractions (fractions with different denominators), convert the denominators of the given fractions equal to L.C.M of their denominators. Now add the numerator value and take the denominator of the resultant as L.C.M.
Example: Sahana bought \(\frac{1}{4} \mathrm{~kg}\) of apples and \(\frac{1}{2} \mathrm{~kg}\) of oranges from the shop. Total how many fruits she bought? The total fruits bought by Sahana \(=\frac{1}{2}+\frac{1}{4}=\frac{1 \times 2+1}{4}=\frac{3}{4} \mathrm{~kg}\)
To subtract the like fractions (Fractions with the same denominators), keep the denominator the same and find the difference of the numerator values of the given fractions.
To subtract the unlike fractions (fractions with different denominators), convert the denominators of the given fractions equal to L.C.M of their denominators. Now find the difference of the numerator value and take the denominator of the resultant as L.C.M.
Example: Keerthi travelled \(\frac{2}{5} \mathrm{~km}\) to school. While returning home, she stopped at her friend’s house at a distance of \(\frac{1}{3} \mathrm{~km}\). Find the remaining distance? The remaining distance needs to be travelled \(=\frac{2}{5}-\frac{1}{3}=\frac{(2 \times 3)-(1 \times 5)}{5 \times 3}=\frac{6-5}{15}=\frac{1}{15} \mathrm{~km}\)
To multiply the two or more fractions, find the product of numerators of the given fractions and the product of the denominators of the given fractions separately.
Example: Keerthi had \(Rs.10000\), and she had donated \(\frac{1}{10}\) of the money to the Oldage home. How much amount did she donate? The amount Keerthi donated \(=\frac{1}{10} \times Rs.10000= Rs. 1000\)
The division of fractions is nothing but multiplying the first fraction with the reciprocal of the second fraction. The reciprocal of the fraction is a fraction obtained by interchanging the numerator and denominator.
Example: The area of the rectangle is \(\frac{15}{4} \mathrm{~cm}^{2}\), whose length is \(\frac{5}{2} \mathrm{~cm}\). Find the width of the rectangle? We know that area of rectangle \(= \text {length} \times \text {bredath}\) And, breadth \(=\frac{\text { area }}{\text { length }}=\frac{15}{\frac{4}{2}}=\frac{15}{4} \times \frac{2}{5}=\frac{3}{2} \mathrm{~cm}\).
We know that percentages are also fractions with the denominator equals to hundred. To convert the given fraction to a percentage, multiply it with hundred and to convert any percentage value to a fraction, divide with hundred.
Example: Keerthi ate \(\frac{2}{5}\) of the pizza. How much percentage of pizza is eaten by Keerthi? The percentage of pizza ate by Keerthi \(=\frac{2}{5} \times 100 \%=40 \%\).
Decimal numbers are the numbers (quotient) obtained by dividing the fraction’s numerator with the given fraction’s denominator. To convert the given decimal to the fractional value by writing the given number without decimals and making the denominator equal to \(1\) followed by the zeroes and number of zeroes equal to the number of decimal places.
Example: Keerthi got \(\frac{1}{10}\) of the price of a T.V. as a discount. Find the discount in decimal. The part of the discount received by a Keerthi as a discount \(=\frac{1}{10}=0.1\)
Q.1. In February \(2021\) , a school was working only three-fourths of the total number of days in the month and the remaining number of days given as holidays. How many days did the school work in the month of February? Ans: The year \(2021\) is a non-leap year. We know that a non-leap has \(28\) days in February month. So, the total number of days \(=28\). Given, the school was working only three-fourths of the total number of days in the month. The number of days school working in February month \(=\frac{3}{4}\) of \(28\). \(=\frac{3}{4} \times 28=21\) days Hence, the school working for \(21\) days in the month of February for the year \(2021\).
Q.2. Keerthi needs \(1 \frac{1}{2}\) cups of sugar for baking a cake. She decided to make \(6\) cakes for her friends. How many cups of sugar did she need for making the \(6\) cakes? Ans: Given, Keerthi needs \(1 \frac{1}{2}\) cup of sugar to make a cake. The total cups of sugar required to make 6 cakes is calculated by multiplying the sugar needed for one cake with the number of cakes that needs to be prepared by Keerthi and is given by \(1 \frac{1}{2} \times 6\) Convert the above-mixed fraction to an improper fraction by multiplying the denominator with the whole and add to the numerator keeping the same denominator as \(1 \frac{1}{2}=\frac{(\text { whole×denominator })+\text { numerator })}{\text { denominator }}=\frac{(1 \times 2)+1}{2}=\frac{3}{2}\) The total cups of sugar needed for making \(6\) cakes \(=\frac{3}{2} \times 6=9\) Hence, Keerthi needs \(9\) cups of sugar to make \(6\) cakes.
Q.3. An oil container contains \(7 \frac{1}{2}\) litres of oil which are poured into \(2 \frac{1}{2}\) litres bottles. How many bottles are needed to fill \(7 \frac{1}{2}\) litres of oil? Ans: Given, a container holds total oil of \(7 \frac{1}{2}\) litres, and the total amount held by each bottle is \(2 \frac{1}{2}\) litres. Consider the number of bottles required is \(x\). From the given question, the total oil in the container is equal to the product of oil in each bottle and the number of bottles required. \(\Rightarrow 7 \frac{1}{2}=x \times 2 \frac{1}{2}\) \(\Rightarrow \frac{15}{2}=x \times \frac{5}{2}\) \(\Rightarrow 15=5 x\) \(\Rightarrow x=\frac{15}{5}=3\) Therefore, \(3\) bottles are required to fill the total oil in the container.
Q.4. A square garden has the area \(\frac{36}{25} \,\text {sq.ft}\). Find the side of the square garden. Ans: Given the area of the square garden is \(\frac{36}{25} \,\text {sq.ft}\). Let the length of the side of the square garden is \(a\) fts. We know that area of the square \( = {\rm{side}} \times {\rm{side}} = {a^2}\) Thus, \(a^{2}=\frac{36}{25}\) \(\Rightarrow a=\sqrt{\frac{36}{25}}=\frac{\sqrt{36}}{\sqrt{25}}=\frac{6}{5}\) feet. Hence, the length of the side of the square garden is \(\frac{6}{5}\) feet.
Q.5. At a party, total \(280\) ice-creams are prepared. Four-seventh of them is eaten by the children. Find the ice-creams eaten by the children. Ans: Total ice-creams prepared \(=280\) Number of ice-creams eaten by children \(=\frac{4}{7}\) of \(280=\frac{4}{7} \times 280=160\) Hence, children ate \(160\) ice-creams.
In mathematics, a fraction is used to represent a piece of something larger. It depicts the whole’s equal pieces. The numerator and denominator are the two elements of a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The numerator specifies the number of equal parts taken, whereas the denominator specifies the total number of equal parts in the total.
In this article, we have studied the definitions of fractions, different types of fractions. We also studied the word problems on fractions and their operations. This article gives the word problems on fractions, addition and subtraction of fractions, multiplication of fractions, division of fractions, the simplest form of fractions, conversion of fractions to percentage, decimals etc., with the help of solved examples.
Here are some of most commonly asked questions on word problems on fractions.
Q.1: How do you solve word problems with fractions?
Ans: To solve word problems with fractions, first, read and write the given data. Write the mathematical form by given data and perform the operations on fractions according to the data.
Q.2: How do you write a fraction division in word problems?
Ans: The fraction division can be written as keeping the first fraction as it is and multiplying it with the reciprocal of the second fraction.
Q.3: How do you know when to divide or multiply fractions in a word problem?
Ans: To find the product, we need to multiply and to find any one of the quantities, we need to divide.
Q.4: What is an example of a fraction word problem?
Ans: Keerthi ate 40% of the pizza. How much is part of the pizza eaten by Keerthi.
Q.5: What is a fraction?
Ans: A fraction is a number that is used to express a part per whole.
Learn About Conversion Of Fractions
We hope this detailed article on Word Problem on Fractions helps you in your preparation. If you get stuck do let us know in the comments section below and we will get back to you at the earliest.
Stay tuned to Embibe to learn more important concepts
1 Million Means: 1 million in numerical is represented as 10,00,000. The Indian equivalent of a million is ten lakh rupees. It is not a...
Ways To Improve Learning Outcomes: With the development of technology, students may now rely on strategies to enhance learning outcomes. No matter how knowledgeable a...
The Three States of Matter: Anything with mass and occupied space is called ‘Matter’. Matters of different kinds surround us. There are some we can...
Motion is the change of a body's position or orientation over time. The motion of humans and animals illustrates how everything in the cosmos is...
Understanding Frequency Polygon: Students who are struggling with understanding Frequency Polygon can check out the details here. A graphical representation of data distribution helps understand...
When you receive your order of clothes or leather shoes or silver jewellery from any online shoppe, you must have noticed a small packet containing...
Visual Learning Style: We as humans possess the power to remember those which we have caught visually in our memory and that too for a...
Air Pollution: In the past, the air we inhaled was pure and clean. But as industrialisation grows and the number of harmful chemicals in the...
In biology, flowering plants are known by the name angiosperms. Male and female reproductive organs can be found in the same plant in flowering plants....
Integers Introduction: To score well in the exam, students must check out the Integers introduction and understand them thoroughly. The collection of negative numbers and whole...
Human Respiratory System: Students preparing for the NEET and Biology-related exams must have an idea about the human respiratory system. It is a network of tissues...
Place Value of Numbers: Students must understand the concept of the place value of numbers to score high in the exam. In mathematics, place value...
The Leaf: Students who want to understand everything about the leaf can check out the detailed explanation provided by Embibe experts. Plants have a crucial role...
In plants, respiration can be regarded as the reversal of the photosynthetic process. Like photosynthesis, respiration involves gas exchange with the environment. Unlike photosynthesis, respiration...
General terms related to spherical mirrors: A mirror with the shape of a portion cut out of a spherical surface or substance is known as a...
Number System: Numbers are highly significant and play an essential role in Mathematics that will come up in further classes. In lower grades, we learned how...
Every living organism has to "breathe" to survive. The process by which the living organisms use their food to get energy is called respiration. It...
Animal Cell: An animal cell is a eukaryotic cell with membrane-bound cell organelles without a cell wall. We all know that the cell is the fundamental...
Conversion of Percentages: To differentiate and explain the size of quantities, the terms fractions and percent are used interchangeably. Some may find it difficult to...
Arc of a circle: A circle is the set of all points in the plane that are a fixed distance called the radius from a fixed point...
Ammonia, a colourless gas with a distinct odour, is a chemical building block and a significant component in producing many everyday items. It is found...
CGPA to Percentage: The average grade point of a student is calculated using their cumulative grades across all subjects, omitting any supplemental coursework. Many colleges,...
Uses of Ether: Ether is an organic compound containing an oxygen atom and an ether group connected to two alkyl/aryl groups. It is formed by the...
General and Middle terms: The binomial theorem helps us find the power of a binomial without going through the tedious multiplication process. Further, the use...
Mutually Exclusive Events: In the theory of probability, two events are said to be mutually exclusive events if they cannot occur simultaneously or at the...
Geometry is a branch of mathematics that is largely concerned with the forms and sizes of objects, their relative positions, and the qualities of space....
Rutherford’s Atom Model was undoubtedly a breakthrough in atomic studies. However, it was not wholly correct. The great Danish physicist Niels Bohr (1885–1962) made immediate...
39 Insightful Publications
Embibe Is A Global Innovator
Innovator Of The Year Education Forever
Interpretable And Explainable AI
Revolutionizing Education Forever
Best AI Platform For Education
Enabling Teachers Everywhere
Decoding Performance
Leading AI Powered Learning Solution Provider
Auto Generation Of Tests
Disrupting Education In India
Problem Sequencing Using DKT
Help Students Ace India's Toughest Exams
Best Education AI Platform
Unlocking AI Through Saas
Fixing Student’s Behaviour With Data Analytics
Leveraging Intelligence To Deliver Results
Brave New World Of Applied AI
You Can Score Higher
Harnessing AI In Education
Personalized Ed-tech With AI
Exciting AI Platform, Personalizing Education
Disruptor Award For Maximum Business Impact
Top 20 AI Influencers In India
Proud Owner Of 9 Patents
Innovation in AR/VR/MR
Best Animated Frames Award 2024
Previous year question papers, sample papers.
Unleash Your True Potential With Personalised Learning on EMBIBE
Enter mobile number.
By signing up, you agree to our Privacy Policy and Terms & Conditions
Click here for questions, click here for answers.
Privacy Policy
Terms and Conditions
Corbettmaths © 2012 – 2024
Are you feeling difficulty in solving the word problems on fractions? Here you will get plenty of information on how to solve word problems and the method used to solve them. You can apply this related knowledge to the problems you encounter on fractions. By going through the article you can also check the solved examples for a better understanding of the concept.
A fractional number is considered as the ratio between two numbers. Fractions are defined by \(\frac {a}{b} \) a is called the numerator which means the equal number of parts that are counted. b is called the denominator which means a number of parts in the whole.
Problem 1: Mickey has read three-fifth of his 75 pages book. How many more pages he needs to read to complete his book? Solution: Let us write the given information, Mickey has read \(\frac {3}{5} \) of a 75 page book. Which can be written as \(\frac {3}{5} \) * 75 \(\frac {3}{5} \) * 75 = 45 So, Mickey has completed reading 45 pages from his book. Now to find the number of pages he needs to read to complete his book Total number of pages = 75 Number of pages Mickey has completed reading = 45 Number of pages he needs to read to complete his book = (75 – 45) = 30pages Number of pages mickey needs to read to complete his book = 30 pages.
Problem 2: Minnie has Rs. 675. She gave \(\frac {13}{15} \) of the amount to Daisy. Then Daisy spent \(\frac {9}{15} \) of the amount given to her. How much amount is Daisy left with? Solution: Amount Minnie gave to Daisy = \(\frac {13}{15} \) of 675 Which can be written as \(\frac {13}{15} \) * 675 \(\frac {13}{15} \) * 675 = Rs.585 Amount Daisy spent = \(\frac {9}{15} \) of 585 Which can be written as \(\frac {9}{15} \) * 585 \(\frac {9}{15} \) * 585 = 351 Amount Daisy is left with = Amount Minnie gave to Daisy – Amount Daisy spent Rs 585 – Rs 351 = Rs 234 Amount left with Daisy left = Rs 234
Problem 3: Tom bought \(\frac {1}{5} \)L milk on Monday and \(\frac {2}{5} \)L on Tuesday. How much milk did he buy in two days? Solution: Milk bought on Monday = \(\frac {1}{5} \)L Milk bought on Tuesday = \(\frac {2}{5} \)L Total milk he bought = \(\frac {1}{5} \)L + \(\frac {2}{5} \)L \(\frac {1}{5} \)L + \(\frac {2}{5} \)L = \(\frac {1 + 2}{5} \)L = \(\frac {3}{5} \)L Milk bought by Tom in two days = \(\frac {3}{5} \)L
Problem 4: Jerry bought \(\frac {5}{7} \)Kg of cheese and used \(\frac {1}{7} \)Kg. How much cheese is left? Solution: Cheese bought = \(\frac {5}{7} \)Kg Cheese used = \(\frac {1}{7} \)Kg Cheese left = Cheese bought – Cheese used \(\frac {5}{7} \)Kg – \(\frac {1}{7} \)Kg = \(\frac {5 – 1}{7} \)Kg \(\frac {4}{7} \)Kg Cheese left with Jerry = \(\frac {4}{7} \)Kg
Problem 5: Jaggu bought \(\frac {4}{7} \)Kg banana on Monday and \(\frac {2}{7} \)Kg of apple on Tuesday. What is the total quantity of fruits Jaggu bought? Solution: Quantity of bananas bought by Jaggu on Monday = \(\frac {4}{7} \)Kg Quantity of apples bought by Jaggu on Tuesday = \(\frac {2}{7} \)Kg The total quantity of fruits Jaggu bought = Quantity of bananas + Quantity of apples \(\frac {4}{7} \)Kg + \(\frac {2}{7} \)Kg = \(\frac {4 + 2}{7} \)Kg \(\frac {6}{7} \)Kg The total quantity of fruits Jaggu bought = \(\frac {6}{7} \)Kg
Problem 6: Ben bought \(\frac {4}{7} \)m cloth at the rate of Rs 140 per meter. How much amount did he pay? Solution: Cost per meter = Rs 140 Length of cloth ben bought =\(\frac {4}{7} \)m Amount Ben paid = Length of cloth ben bought * Cost per meter \(\frac {4}{7} \)m * Rs 140 = \(\frac {4 * 140}{7} \) \(\frac {4 * 140}{7} \) = \(\frac {560}{7} \) = Rs 80 Amount paid by Ben = Rs 80
Problem 7: What is the difference between \(\frac {3}{5} \) of 5000 and \(\frac {5}{8} \) of 4000 Solution: First, we need to find what is \(\frac {3}{5} \) of 5000 and \(\frac {5}{8} \) of 4000 \(\frac {3}{5} \) of 5000 = \(\frac {3}{5} \) * 5000 = 3000 \(\frac {5}{8} \) of 4000 = \(\frac {5}{8} \) * 4000 = 2500 Now, difference between \(\frac {3}{5} \) of 5000 and \(\frac {5}{8} \) of 4000 = (3000 – 2500) = 500 The difference between \(\frac {3}{5} \) of 5000 and \(\frac {5}{8} \) of 4000 = 500
Problem 8: Jane spent \(\frac {1}{5} \) of her pockey money on food and \(\frac {3}{4} \) on books, how much did she spend alltogether? Solution: Amount spent on food = \(\frac {1}{5} \) Amount spent on books = \(\frac {3}{4} \) Total amount spent = Amount spent on food + Amount spent on books \(\frac {1}{5} \) + \(\frac {3}{4} \) = ( \(\frac {1}{5} \) * \(\frac {4}{4} \) ) + ( \(\frac {3}{4} \) + \(\frac {5}{5} \) ) = \(\frac {4}{20} \) + \(\frac {15}{20} \) = \(\frac {19}{20} \) Amount spent by Jane = \(\frac {19}{20} \)
Problem 9: In a high school contest, Ross jumped 3\(\frac {8}{9} \)m and Joye jumped 4\(\frac {1}{3} \)m. Who jumped more height and by how much more? Solution: Height Ross jumped = 3\(\frac {8}{9} \)m Height Joey jumped = 4\(\frac {1}{3} \)m The given numbers are mixed fractional numbers let’s convert them to improper fractional numbers So, 3\(\frac {8}{9} \)m = \(\frac {35}{9} \)m 4\(\frac {1}{3} \)m = \(\frac {13}{3} \)m This means, Ross jumed \(\frac {35}{9} \)m and Joey jumped \(\frac {13}{3} \)m Now to know who jumped more height we need to compare these numbers by cross multiplication \(\frac {35}{9} \) * \(\frac {13}{3} \) = \(\frac {35 * 3}{9 * 13} \) = \(\frac {105}{117} \) We know 117 > 105 so, \(\frac {13}{3} \) > \(\frac {35}{9} \) This means Joey jumped more height To know by how more Joey jumped than Ross we need to subtract \(\frac {13}{3} \) from \(\frac {35}{9} \) LCM is 9 So,( \(\frac {13}{3} \) * \(\frac {3}{3} \) ) – \(\frac {35}{9} \) = \(\frac {39}{9} \) – \(\frac {35}{9} \) = \(\frac {39 – 35}{9} \) = \(\frac {4}{9} \) Joey jumed \(\frac {4}{9} \) more than Ross.
Problem 10: Bunny bought 2\(\frac {2}{5} \)kg of strawberry, 2kg of blackberry and 1\(\frac {2}{5} \)kg of blueberry. What is the total weight of berries Bunny bought? Solution: Weight of strawberry = 2\(\frac {2}{5} \)kg Weight of blackberry = 2kg Weight of blueberry = 1\(\frac {2}{5} \)kg We can see that weights of berries are in mixed fractional form and whole number form Now, let’s convert them to fractional numbers so that we can add them and find the weight of the berries 2\(\frac {2}{5} \)kg =\(\frac {12}{5} \)kg 2kg = \(\frac {2}{1} \)kg 1\(\frac {2}{5} \)kg = \(\frac {7}{5} \)kg Total weight of berries = Sum of (strawberry + blackberry + blueberry) = \(\frac {12}{5} \) + \(\frac {2}{1} \) + \(\frac {7}{5} \) LCM is 5 = \(\frac {12}{5} \) + (\(\frac {2}{1} \) + \(\frac {5}{5} \)) + \(\frac {7}{5} \) = \(\frac {12}{5} \) + \(\frac {10}{5} \) + \(\frac {7}{5} \) = \(\frac {12 + 10 + 7}{5} \) = \(\frac {29}{5} \) \(\frac {12}{5} \) is a improper fractional number so let us convert it in to mixed fractional number \(\frac {29}{5} \) = 5\(\frac {4}{5} \) The total weight of berries = 5\(\frac {4}{5} \)kg
Problem 11: Mickey bought \(\frac {7}{8} \)kg of noddels and Minnie bought \(\frac {6}{8} \)kg of noddels. What is the total quantity of noddels they have? Solution: Weight of noddles Mickey bought = \(\frac {7}{8} \)kg Weight of noddels Minnie bought = \(\frac {6}{8} \)kg Total weight of noddels = Weight of noddles Mickey bought +Weight of noddels Minnie bought = \(\frac {7}{8} \)kg + \(\frac {6}{8} \)kg = \(\frac {7 +6}{8} \)kg = \(\frac {13}{8} \)kg This is an improper fractional number so it can be converted to a mixed fractional number \(\frac {13}{8} \)kg = 1\(\frac {5}{8} \)kg The total quantity of noddles Mickey and Minnie have = 1\(\frac {5}{8} \)kg
Problem 12: Kitty’s mother bought 1\(\frac {3}{4} \)kg of cookies and her father bought 1\(\frac {1}{2} \)kg of cookies. What is the total weight of cookies that Kitty has? Solution: Weight of cookies bought by Kitty’s mother = 1\(\frac {3}{4} \)kg Weight of cookies bought by Kitty’s father = 1\(\frac {1}{2} \)kg To know the total weight of cookies we have to add them We can’t add mixed fractional numbers so let us convert them into improper fractional numbers 1\(\frac {3}{4} \)kg = \(\frac {7}{4} \)kg 1\(\frac {1}{2} \)kg = \(\frac {3}{2} \)kg Now we can add these two fractional numbers \(\frac {7}{4} \)kg + \(\frac {3}{2} \)kg LCM= 4 = \(\frac {1*7 + 2*3}{4} \) = \(\frac {7 + 6}{4} \) = \(\frac {13}{4} \) \(\frac {13}{4} \) is an improper fractional number So we have to convert it into a mixed fractional number \(\frac {13}{4} \) = 3\(\frac {1}{4} \) The total quantity of cookies Kitty have = 3\(\frac {1}{4} \)kg
You must be logged in to post a comment.
x^{\msquare} | \log_{\msquare} | \sqrt{\square} | \nthroot[\msquare]{\square} | \le | \ge | \frac{\msquare}{\msquare} | \cdot | \div | x^{\circ} | \pi | |||||||||||
\left(\square\right)^{'} | \frac{d}{dx} | \frac{\partial}{\partial x} | \int | \int_{\msquare}^{\msquare} | \lim | \sum | \infty | \theta | (f\:\circ\:g) | f(x) |
▭\:\longdivision{▭} | \times \twostack{▭}{▭} | + \twostack{▭}{▭} | - \twostack{▭}{▭} | \left( | \right) | \times | \square\frac{\square}{\square} |
x^{\msquare} | \log_{\msquare} | \sqrt{\square} | \nthroot[\msquare]{\square} | \le | \ge | \frac{\msquare}{\msquare} | \cdot | \div | x^{\circ} | \pi | |||||||||||
\left(\square\right)^{'} | \frac{d}{dx} | \frac{\partial}{\partial x} | \int | \int_{\msquare}^{\msquare} | \lim | \sum | \infty | \theta | (f\:\circ\:g) | f(x) |
- \twostack{▭}{▭} | \lt | 7 | 8 | 9 | \div | AC |
+ \twostack{▭}{▭} | \gt | 4 | 5 | 6 | \times | \square\frac{\square}{\square} |
\times \twostack{▭}{▭} | \left( | 1 | 2 | 3 | - | x |
▭\:\longdivision{▭} | \right) | . | 0 | = | + | y |
🌐 Languages | EN, ES, PT & more |
---|---|
🏆 Practice | Improve your math skills |
😍 Step by step | In depth solution steps |
⭐️ Rating | based on 20924 reviews |
fractions-calculator
Please add a message.
Message received. Thanks for the feedback.
Number and algebra.
To download a printable version of this game, use the links below. There are three sets - set A is the easiest and set C is the most difficult. If you print double sided, then the cards will have an NRICH logo on the back. Otherwise, you can just print the first page. Set A , Set B , Set C
The aim of this game is to match pairs of cards.
Click on a card in the interactivity below to turn it over. Then click on another one. If the two cards match, they will stay face-up. If the two cards do not match, they will return to being face-down.
The game ends when all the cards have been matched in pairs.
Click on the links below if you would like to try some alternative versions of the Level 1 game:
Once you've mastered Level 1, there are four more levels to try, getting progressively more difficult:
What strategies did you use to work out that two cards matched? Which pairs did you find easy to match? Which pairs did you find more difficult to match?
We would love to hear about the strategies you used as you played the game.
A pupil from Gamlingay Village Primary sent in the following:
At first my card choices were random, but when I had remembered some cards I tried to match them and remember what was on each card. I also tried to convert the numbers on the cards into the same thing (e.g: decimals, fraction or percentage), which made it easier to tell if they matched one I had remembered.
Madeleine from the British School of Manila in the Philippines had a similar strategy:
My strategy was to look at random ones and guess at the beginning, then at the end I would remember where pairs were and do them quickly.
Callum from Wembrook Primary School wrote:
All you have to do is memorise the cards you have already flipped over and when you find one either in a decimal, a percentage or a fraction you have already found just match it to the equivalent card.
Erik from International School of the Hague (ISH) in the Netherlands wrote:
I did the matching fractions, decimals and percentages problem. The fastest way to get all the cards matched (if you are on cards up) is focusing on the easiest ones first. After you have matched all the easy ones, you have narrowed down the hard ones' possible answers. If you start on the harder ones, you will be looking through the flash cards to find an answer, and that will take you longer and you will get a higher time. Don't work hard, work smart.
Christopher from England wrote:
I recorded what each square was on a piece of paper as a fraction in its simplest form. Then, I matched them up, ticking them off as I went.
Mark from the International School of the Hague wrote:
First, I converted all the irregular values to decimals, to make them equal. For fractions, I converted the denominator to a hundred and then the numerator accordingly, so that the denominator was equal to hundred. The numerator was then the tenths and hundredths place of the decimal.
For the shapes, I counted how many there were in total and then how many were shaded to a fraction. The number of how many were shaded was the numerator and the total number was the denominator, I then did the same process as the fractions. And completed it.
Mahdi from Mahatma Ghani International School in India focused on finding the pairs as quickly as possible with the cards face-down, once you are already fluent with converting between the fractions, decimals and percentages. This is Mahdi's strategy:
For the face-down cards, I started to open the cards two at a time, labeled 1 and 2. If the two match, I open the 3rd and the 4th and continue. If 1 and 2 don't match (which is very likely), I proceed to open the 3rd one. I then recall whether the 3rd matches with any of the previous ones (1 and 2) in any simplified form. If not, I open the forth and continue. This was the general strategy I followed.
Also, I found out that [by] the 9th card I will definitely have a match. This is due to the pigeon-hole principle (if the first 9 cards were all different to each other, then they would each still have a pair somewhere else - so there would be 9 partner cards - but there are only 16 cards altogether) . So, in the worst-case scenario every card from 1 to 8 has a corresponding match from 9 to 16 in some order. Thus when I open the 9th card it will definitely have a match for one of the 1-8 cards. This makes the strategy easier because I only have to memorize cards till 8 if there is no match. Otherwise, the game will get a lot easier if I luckily get a match before that.
This game can be played to improve students' recognition of equivalent fractions, decimals and percentages.
Level 1 on the interactivity uses cards from Set A. Level 2 on the interactivity uses cards from Sets A & B. Level 3 on the interactivity uses cards from Set B. Level 4 on the interactivity uses cards from Sets B & C. Level 5 on the interactivity uses cards from Set C.
Bring the class together and ask for any tips or strategies that help with the game. You could invite students to create their own sets of cards that they can share and use to play different versions of the game.
What could match with 0.3? What could match with 25%? What could match with $\frac35$? Which cards did you find easier to match? Which cards did you find more difficult to match?
Encourage students to play in face-up mode a few times before moving on to face-down mode.
Matching Fractions can be used to help children develop their understanding of fractions before moving on to this activity.
Here are some examples of more difficult fraction word problems. We will illustrate how block models (tape diagrams) can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.
Related Pages Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra Algebra Word Problems
Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.
Example: 2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?
Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.
5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133
Answer: There are 133 children in the restaurant.
Example: Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?
350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595
Answer: Gary has $595 after shopping.
Example: 1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?
Solution: Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.
3 units = 81 1 unit = 81 ÷ 3 = 27 Printed shirts have 2 parts more than plain shirts. 2 units = 27 × 2 = 54
Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.
Solve a problem involving fractions of fractions and fractions of remaining parts
Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?
How to solve fraction word problem that involves addition, subtraction and multiplication using a tape diagram or block model
Example: Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends the rest of the time reading her book. How long did Jenny read?
How to solve a four step fraction word problem using tape diagrams?
Example: In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
More solvers.
IMAGES
COMMENTS
The solution to this problem is an irreducible fraction (a fraction which cannot be simplified). Therefore, there is nothing left to do. Word problems with fractions: involving two fractions. In these problems, we should remember how to carry out operations with fractions. Carefully read the following problem and the steps we have taken to ...
To add fractions with like denominators, add the numerators and keep the denominators the same. 3 8 + 2 8 = 5 883+ 82 = 85. 4 State your answer in a sentence. The last step is to go back to the word problem and write a sentence to clearly say what the solution represents in the context of the problem.
Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents. Fraction Worksheets ... Fractions - Subtraction. Worksheet. Example. Fractions (Same Denominator) 15 − 25. Unit Fractions. 13 − 19. Easy Proper Fractions. 38 − 27. Harder Proper Fractions. 712 − 1525.
Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work. Small Fraction Circles.
Fraction Word Problems, The first example is a one-step word problem, The second example shows how blocks can be used to help illustrate the problem, The third example is a two-step word problem, bar modeling method in Singapore Math, Word Problem on Subtracting Fractions From Whole Numbers, with video lessons, examples and step-by-step solutions.
Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form. Download the set. Represent and Simplify the Fractions: Type 2. Before representing in fraction, children should perform addition or subtraction to solve ...
Grade 4: Fraction worksheets. Fractions to decimals. Grade 5: Fraction addition and subtraction. Fraction multiplication and division. Converting fractions, equivalent fractions, simplifying fractions. Fraction to / from decimals. Grade 6:
After solving the problem, check your answer to ensure it makes sense and matches the problem's requirements. Re-read the problem to verify that you have answered the question correctly. Clearly state your answer in the context of the problem. Use proper units and labels if applicable. Printable Fraction Word Problems Answers on the second ...
Solution: Step 1: Assign variables : Let x = number. Step 2: Solve the equation. Isolate variable x. Answer: The number is 21. Example: The numerator of a fraction is 3 less than the denominator. When both the numerator and denominator are increased by 4, the fraction is increased by fraction.
Solution: Answer: The carpenter needs to cut four and seven-twelfths feet of wood. Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems: Add fractions with like denominators. Subtract fractions with like denominators.
Quiz 6. Identify your areas for growth in these lessons: Visually adding and subtracting fractions with unlike denominators. Adding and subtracting fractions with unlike denominators. Adding and subtracting mixed number with unlike denominators. Adding and subtracting fractions with unlike denominators word problems.
Fraction Word Problems - Examples and Worked Solutions of Word Problems, to solve a word problem that involves adding fractions with unlike denominators, Solve a problem involving fractions of fractions and fractions of remaining parts, using bar models or tape diagrams, with video lessons, examples and step-by-step solutions.
To add fractions, they must have the same denominator. If they do, simply add the numerators together. [2] For instance, to solve 5/9 + 1/9, just add 5 + 1, which equals 6. The answer, then, is 6/9 which can be reduced to 2/3. 2. Subtract fractions with the same denominator by subtracting the numerators.
Here we will learn to solve some real-life problems using fractions. ...Read More Read Less. Select your child's grade in school: Grade. 1. Grade. 2. Grade. 3. Grade. 4. Grade. 5. Grade. 6. Grade. ... numbers, that is, solve the fractional and whole number parts separately, and then, find their sum to get the final answer. Fractions can be ...
In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers. I. Word Problems on Addition of Fractions: 1. Nairitee took \(\frac{7}{8}\) hour to paint a table and \(\frac{2}{3}\) hour to paint a chair. How much time did he take in painting both items? Solution:
Dividing Fractions Word Problems Worksheets. Toss off solutions to our pdf worksheets on dividing fractions word problems to foster a sense of excellence in identifying the dividend and the divisor and solving word problems on fraction division. Equipped with answer key, our worksheets get children in grade 5, grade 6, and grade 7 rattling ...
Problem nº 1. Problem nº 2. Problem nº 3. Solution to Problem nº 1. This is an example of a problem involving the addition of a whole number and a fraction. The simplest way to show the number of cookies I ate is to write it as a mixed number. And the data given in the word problem gives us the result: 9 biscuits and 5 / 6 of a biscuit = 9 ...
These math worksheets provide practice for multiplying fractions. Includes problems with and without wholes, and with and without cross-cancelling. Every PDF fraction worksheet here has a detailed answer key that shows the work required to solve the problem, not just the final product! Multiplying Fractions Worksheets
A great variety of fraction word problems with solutions. These word problems will help you find out when you need to add, subtract, multiply or divide fractions. 1. Sarah knows 8 of the 25 students in her class. Write a fraction showing the number of students Sarah knows. Solution 8/25. 2. Peter correctly solved 18 out of the 20 math problems ...
Need a custom math course? Visit https://www.MathHelp.com.This lesson covers fraction word problems. Students learn to solve word problems that involve compa...
This set of worksheets contains introductory lessons, step-by-step solutions to sample problems, a variety of different practice problems, reviews, and quizzes. When finished with this set of worksheets, students will be able to solve word problems involving ratios, fractions, mixed numbers, and fractional parts of whole numbers.
Please note the fraction math problem will not change color when it is keeping score in the challenge mode. Each time you reset the problem, the left counter increases for each correct answer; the right counter counts the number of problems you've done. If the answer isn't right, the correct answer will display to the right of the counter when ...
Students will come across fraction word problems with answers, fraction problem solving and dividing fractions word problems. It is advisable to practice all the problems thoroughly before attempting the exam. Keep reading to know more about word problems on fractions,, definition, types, solved examples and many more
Next: Fractions - Finding Original Practice Questions GCSE Revision Cards. 5-a-day Workbooks
13 15 * 675 = Rs.585. Amount Daisy spent = 9 15 of 585. Which can be written as 9 15 * 585. 9 15 * 585 = 351. Amount Daisy is left with = Amount Minnie gave to Daisy - Amount Daisy spent. Rs 585 - Rs 351 = Rs 234. Amount left with Daisy left = Rs 234. Problem 3: Tom bought 15 L milk on Monday and 25 L on Tuesday.
Add, Subtract, Reduce, Divide and Multiply fractions step-by-step. A mixed number is a combination of a whole number and a fraction. To compare two fractions, first find a common denominator, then compare the numerators.Alternatively, compare the fractions by converting them to decimals.
All you have to do is memorise the cards you have already flipped over and when you find one either in a decimal, a percentage or a fraction you have already found just match it to the equivalent card. Erik from International School of the Hague (ISH) in the Netherlands wrote: I did the matching fractions, decimals and percentages problem.
Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution. If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator. Sometimes math problems include the word ...
Answer: Peter's shop has 54 more printed colored shirts than plain shirts. Solve a problem involving fractions of fractions and fractions of remaining parts. Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds? Show Video Lesson
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...