problem solving involving multiplication and division of fractions worksheet

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Multiplying fractions word problems

Including estimating.

These grade 5 word problems involve the multiplication of common fractions by other fractions or whole numbers. Some problems ask students between what numbers does the answer lie? Answers are simplified where possible.

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Fraction Multiplication Word Problems Worksheets

Our printable worksheets on multiplying fractions word problems task grade 4 through grade 7 students with reading and solving realistic scenarios by performing fraction multiplication. The problems feature both common and uncommon denominators, so the budding problem-solving stars must follow the correct procedure to obtain the products. Equipped with answer keys, these pdf resources are available in customary and metric units. Try some multiplying fractions word problems worksheets for free!

Multiplying Fractions by Whole Numbers Word Problems

Impel the eager beavers in 4th grade and 5th grade to multiply fractions by whole numbers through word problems. Kids are required to multiply proper fractions and improper fractions by whole numbers correctly.

• Download the set

Multiplying Fractions by Cross-Cancelling Word Problems

Say a whole-hearted yes to our no-prep printable worksheets on fraction multiplication that have you fully covered! Interpret the word problems and multiply fractions with a special emphasis on cross cancelling.

Multiplying Mixed Numbers Word Problems

Multiplying mixed numbers may initially feel incomprehensible, but practice makes the pain melt away. Let grade 6 and grade 7 kids convert the mixed numbers into fractions and work out the products.

Multiplying Mixed Numbers and Fractions Word Problems

Let not the challenges of obtaining solutions for problems befall you! Our pdf worksheets on multiplying fractions word problems, equipped with answer key for a quick self-validation, help ease into the process.

Themed Fraction Multiplication Word Problems

Revive 5th grade, 6th grade, and 7th grade students' problem-solving fortunes with our themed word problems, featuring a good mix of like fractions, unlike fractions, whole numbers, and mixed numbers!

Related Worksheets

» Multiplying Fractions on a Number Line

» Multiplying Fractions by Whole Numbers

» Multiplying Fractions with Cross Cancelling

» Multiplying Mixed Numbers

» Fraction Word Problems

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6 Free Multiplying and Dividing Fractions Word Problems Worksheets

This article will show you the multiplying and dividing fractions word problems worksheets. After reading this article, you will be able to know the procedure of multiplying and dividing fractions with some fundamental word problems. This article is suitable for grade 4 and 5 students.

Download the following worksheets and practice more.

Word Problems 1

Word Problems 2

Word Problems 3

Word Problems 4

Word Problems 5

Word Problems 6

Fractions are common phenomena in mathematical operations. Multiplying and dividing fractions are quite tricky parts of math for 4th-grade or 5th-grade students.

Step by Step Solution of a Word Problem for Multiplying and Dividing Fractions

With the aid of these multiplying and dividing fractions word problems worksheets pdf, our kids will be able to master fundamental mathematics quickly and actively. Follow the steps given below and solve the problems.

A restaurant brought 5 ⅓ pounds of flour. They needed to spend 25 ⅔ dollars in total to buy that amount of flour. How many dollars were spent on one unit of flour?

Step 1: Point out the Fractions

In this step, point out the fractions. Here, the amount of flour is 5 ⅓ pounds and cost is 25 ⅔ dollars.

Step 2: Change the Mixed Fraction into Improper Fractions

Change the mixed fractions into improper fractions here. First, multiply the denominator by the whole number and then add the product to the numerator. You will get the improper fractions: 5 ⅓ = 16/3 and 25 ⅔ = 77/3

Step 3: Get the Unit Cost

Divide the total cost by the total amount of flour. You will find the unit cost here. Therefore, 77/3 / 16/3 After flipping, 77/3 x 3/16 = 77/16 = 4 13/16. So the unit cost is 4 13/16.

Download Free PDF Worksheet

Please download the following pdf with worksheets for 4th and 5th-grade students.

So today, we’ve discussed multiplying and dividing fractions with multiplying and dividing fractions word problems worksheets using the concepts of interactive word problems. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of multiplication and division.

Hi there! This is Souptik Roy, a graduate of the Bangladesh University of Engineering and Technology, working as a Content Developer for the You Have Got This Math project of SOFTEKO. I am a person with a curious and creative mind. After finishing my Engineering degree, I want to explore different fields. This is why I am working here as a content developer. I have a massive interest in creative content writing. When I find that someone can learn something from my articles, this gives a lot of inspiration. hopefully, you will find interest in my article, if you have a child and want to teach them math with fun.

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Key to Fractions Workbooks

These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.

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Fraction Multiplication Word Problems Worksheets

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Hold on to our free multiplying fractions word problems worksheets and rest assured about multiplying fractions! An unbeatable bunch of printable practice worksheets, our resources work like magic when the going gets tough in fraction multiplication! Toss off answers to real-life word problems by simplifying fractions when required and finding the product of proper fractions, improper fractions, and mixed numbers with the correct units. Our pdf fraction multiplication word problems worksheets are equipped with answer keys for quick self-validation, too.

These worksheets are well suited for 4th grade through 7th grade students.

Multiplying Fractions by Whole Numbers Word Problems

Let children swing into action and find the product of fractions and whole numbers with accuracy and speed. Kids are required to multiply proper fractions and improper fractions by whole numbers in the word problems here.

Multiplying Fractions by Cross Cancelling Word Problems

Grade 4, grade 5, and grade 6 kids will gain an advantage over their peers by solving these exclusive multiplying fractions word problems worksheets. The set heavily relies on cross cancelling, so the job is twice as easy!

Multiplying 2 Fractions Word Problems

Watch how our multiplying 2 fractions word problems pdfs light a fire under kids. With a range of real-world scenarios to choose from, children in 5th grade and 6th grade will be at their multiplying-fractions best.

Multiplying 3 Fractions Word Problems

Don’t mellow out until kids in grade 7 know multiplying fractions like the back of their hand. This set of multiplying 3 fractions word problems worksheets doubles up as a tool to assess children's multiplication skills.

Multiplying Mixed Numbers Word Problems

Quench learners' quest with the massive practice in our multiplying mixed numbers word problems pdf worksheets. Let them double-check the solutions using the answer keys.

Multiplying Mixed Numbers and Fractions Word Problems

Let children bring their A-game as they solve our multiplying fractions word problem worksheets. Read the problems, find the products of mixed numbers and fractions, and obtain solutions with accuracy and ease!

Related Printable Worksheets

▶ Fraction Division Word Problems

▶ Fraction Addition Word Problems

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Worksheet on Division of Fractions

In worksheet on division of fractions, the questions are based on dividing fractions; to find the reciprocal of the fractions and to classify them as proper, improper and whole numbers; simplifying fractions to its lowest form (if needed) and also word problems on dividing fractions . This exercise sheet on divide the fractions has different types of questions that can be practiced by the seventh grade math students to get more ideas to solve all types of questions in worksheet on division of fractions.

1. Find the reciprocal of each of the following fractions and classify them as proper, improper and whole numbers:  (i) 3/7  (ii) 5/8  (iii) 9/7  (iv) 6/5  (v) 12/7  (vi) 1/8  (vii) 1/11

2. Divide the fractions: 

(i) 3/8 by 5/9 (ii) 7/12 by 3/4 (iii) 1/2 by 2/5 (iv) 3¹/₄ by 2/3 (v) 7/8 by 4¹/₂ (vi) 6¹/₄ by 2³/₅ 3. Dividing fractions:

(i) 3/8 by 4 (ii) 9/16 by 6 (iii) 9 by 3/16 (iv) 10 by 100/3

4. Simplify the fractions:

(i) 3/10 + 10/3 (ii) 4³/₅ + 4/5 (iii) 5⁴/₇ + 1³/₁₀ (iv) 4 ÷ 2²/₅ (v) 2/5 + 1¹/₂ (vi) 3¹/₅ + 1²/₃ (vii) 2¹/₅ + 1¹/₅ (viii) 4³/₇ + 3¹/₂

5. A wire of length 12¹/₂ m is cut into 10 pieces of equal length. Find the length of each piece. 6. The length of a rectangular plot of area 65¹/₃ m² is 12¹/₄ m. What is the width of the plot?

7. By what number should 6²/₉ be multiplied to get 4⁴/₉?

8. The product of two numbers is 25⁵/₆. If one of the numbers is 6²/₃, find the other.

9. The cost of 6¹/₄ kg of apples is $ 400. At what rate per kg are the apples being sold?

10. By selling oranges at the rate of $ 5¹/₄ per orange, a fruit-seller gets $ 630. How many dozens of oranges does he sell?

11. In mid-day meal scheme 3/10 litre of milk is given to each student of a primary school. If 30 litres of milk is distributed every day in the school, how many students are there in the school?

12. In a charity show $ 6496 were collected by selling some tickets. If the price of each ticket was $ 50³/₄, how many tickets were sold?

Students can check the  answers of the worksheet on division of fractions  given below to make sure that the answers are correct. 

1. (i) 7/3, improper (ii) 8/5, improper (iii) 7/9, proper (iv) 5/6, proper (v) 7/12 proper (vi) 8, whole number (vii) 11, whole number

2. (i) 27/40 (ii) 7/9 (iii) 1¹/₄ (iv) 4⁷/₈ (v) 7/36 (vi) 2²¹/₂₂

3. (i) 3/32 (ii) 3/32 (iii) 48 (iv) 3/10

4. (i) 9/100 (ii) 5³/₄ (iii) 4²/₇ (iv) 1²/₃ (v) 4/15 (vi) 1²³/₂₅ (vii) 1⁵/₆ (viii) 1¹³/₄₉

5. 1¹/₄ m 6. 5¹/₃ m 7. 5/7 8. 3⁷/₈ 9. $ 64 10. 10 dozens 11. 100 students 12. 128

If students have any queries regarding the questions given in the worksheet on division of fractions, please fill-up the comment box so that we can help you.

However, suggestions for further improvement, from all quarters would be greatly appreciated.

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Free Printable Fraction Word Problems Worksheets for 6th Grade

Fraction Word Problems: Discover a collection of free printable Math worksheets for Grade 6 students, focusing on solving real-life scenarios involving fractions. Enhance learning and problem-solving skills with Quizizz's resources.

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Explore printable Fraction Word Problems worksheets for 6th Grade

Fraction Word Problems worksheets for Grade 6 are an essential resource for teachers looking to help their students master the challenging world of fractions in math. These worksheets provide a variety of math word problems that incorporate fractions, allowing students to practice their skills in a fun and engaging way. Teachers can use these worksheets to supplement their lesson plans, provide extra practice for struggling students, or even as a form of assessment to gauge their students' understanding of the material. With a wide range of topics covered, from addition and subtraction of fractions to more complex problems involving ratios and proportions, these Grade 6 worksheets are a valuable tool for any math teacher looking to enhance their students' learning experience.

In addition to Fraction Word Problems worksheets for Grade 6, teachers can also utilize Quizizz, an interactive platform that offers a variety of educational resources, including quizzes, games, and other engaging activities. Quizizz allows teachers to create custom quizzes and games based on the content they are teaching, making it a perfect complement to the worksheets they are already using in their classroom. With Quizizz, students can practice their math skills in a more interactive and enjoyable way, helping to solidify their understanding of the material. Furthermore, Quizizz provides teachers with valuable data and insights into their students' progress, allowing them to identify areas where additional support may be needed. By incorporating both Fraction Word Problems worksheets for Grade 6 and Quizizz into their lesson plans, teachers can provide a well-rounded and effective learning experience for their students.

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Free Equivalent Fractions Worksheets

Get ’em while they’re hot!

Equivalent fractions are fractions with different numerators and denominators that represent the same value. They can be especially tricky for students to learn because although they look different, their values are the same. So if you’re introducing the concept to your 3rd or 4th graders (or have kids who are struggling with the concept), these equivalent fractions worksheets are for you. Don’t miss out on our newest bundle! Just fill out the form on this page to get all the worksheets described below.

Equivalent Fractions Using Models

Our first worksheet has students practicing equivalent fractions using models. We used different shapes and also have students dividing the shapes themselves before shading.

Equivalent Fractions Using Number Lines

Practicing equivalent fractions on a number line provides a visual representation of how fractions occupy different points along the line while representing the same portion of the whole.

Equivalent Fractions Using Multiplication

Equivalent fractions can be found by multiplying or dividing the numerator and denominator by the same number. This worksheet provides practice for both. Get more multiplication practice here .

Mystery Picture

The equivalent fractions mystery picture worksheet is a fun and colorful way for students to test their knowledge of equivalent fractions. It’s also a great way to motivate creative kids!

Review Page

Ready to assess your students? Grab the equivalent fractions review page with some of each of the types of practice featured in the bundle plus a word problem.

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Just click the button below to fill out the form at the top of this page to get instant access to all the worksheets mentioned above.

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