eureka math lesson 14 homework 4.5 answer key

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EngageNY (Eureka Math) Grade 4 Module 5 Answer Key

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Eureka Math Grade 4 Module 5 Lesson 15 Answer Key

Engage ny eureka math 4th grade module 5 lesson 15 answer key, eureka math grade 4 module 5 lesson 15 problem set answer key.

Answer: 1/2  = 3/6.

Explanation: In the above-given question, given that, Each rectangle represents 1. 1 x 3/2 x 3. 1 x 3 = 3. 2 x 3 = 6. 3/6.

Answer: 2/3  = 4/6.

Explanation: In the above-given question, given that, Each rectangle represents 1. 2 x 2/3 x 2. 2 x 2 = 4. 2 x 3 = 6. 4/6.

Answer: \(\frac{4}{5}\) __>___ \(\frac{3}{4}\).

Explanation: In the above-given question, given that, \(\frac{4}{5}\). 4/5 = 4 fifths. 4/5 = 0.8. \(\frac{3}{4}\). 3/4 = 3 fourths. 3/4 = 0.75. 0.8 > 0.75. 4 fifths are greater than 3 fourths. 4/5 > 3/4.

c. \(\frac{3}{5}\) __________ \(\frac{4}{7}\)

Answer: \(\frac{3}{5}\) __=__ \(\frac{4}{7}\).

Explanation: In the above-given question, given that, \(\frac{3}{5}\). 3/5 = 3 fifths. 3/5 = 0.6. \(\frac{4}{7}\). 4/7 = 4 sevenths. 4/7 = 0.6. 0.6 = 0.6. 3 fifths are equal to 4 sevenths. 3/5 = 4/7.

d. \(\frac{3}{7}\) __________ \(\frac{2}{6}\)

Answer: \(\frac{3}{7}\) __>___ \(\frac{2}{6}\).

Explanation: In the above-given question, given that, \(\frac{3}{7}\). 3/7 = 3 sevenths. 3/7 = 0.42. \(\frac{2}{6}\). 2/6 = 2 sixths. 2/6 = 0.33. 0.42 > 0.33. 3 sevenths are greater than 2 sixths. 3/7 > 2/6.

e. \(\frac{5}{8}\) __________ \(\frac{6}{9}\)

Answer: \(\frac{5}{8}\) __<___ \(\frac{6}{9}\).

Explanation: In the above-given question, given that, \(\frac{5}{8}\). 5/8 = 5 eights. 5/8 = 0.625. \(\frac{6}{9}\). 6/9 = 6 ninths. 6/9 = 0.66. 0.625 < 0.66. 5 eights are less than 6 ninths. 5/8 < 6/9.

f. \(\frac{2}{3}\) __________ \(\frac{3}{4}\)

Answer: \(\frac{2}{3}\) __<___ \(\frac{3}{4}\).

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 2 thirds. 2/3 = 0.6 \(\frac{3}{4}\). 3/4 = 3 fourths. 3/4 = 0.75. 0.6 < 0.75. 2 thirds are less than 3 fourths. 2/3 < 3/4.

Rename the fractions, as needed, using multiplication in order to compare each pair of fractions by writing >, <, or =. a. \(\frac{3}{5}\) __________ \(\frac{5}{6}\)

Answer: \(\frac{3}{5}\) __<___ \(\frac{5}{6}\).

Explanation: In the above-given question, given that, \(\frac{3}{5}\). 3/5 = 3 fifths. 3/5 = 0.6. \(\frac{5}{6}\). 5/6 = 5 sixths. 5/6 = 0.83. 0.6 < 0.83. 3 fifths are less than 5 sixths. 3/5 < 5/6.

b. \(\frac{2}{6}\) __________ \(\frac{3}{8}\)

Answer: \(\frac{2}{6}\) __<___ \(\frac{3}{8}\).

Explanation: In the above-given question, given that, \(\frac{2}{6}\). 2/6 = 2 sixths. 2/6 = 0.33. \(\frac{3}{8}\). 3/8 = 3 eights. 3/8 = 0.375. 0.3 = 0.3. 2 sixths are equal to 3 eights. 2/6 = 3/8.

c. \(\frac{7}{5}\) __________ \(\frac{10}{8}\)

Answer: \(\frac{7}{5}\) __<___ \(\frac{10}{8}\).

Explanation: In the above-given question, given that, \(\frac{7}{5}\). 7/5 = 7 fifths. 7/5 = 1.4. \(\frac{10}{8}\). 10/8 = 10 eights. 10/8 = 1.25. 1.4 > 1.25. 7 fifths are greater than 10 eights. 7/5 > 10/8.

d. \(\frac{4}{3}\) __________ \(\frac{6}{5}\)

Answer: \(\frac{4}{3}\) __<___ \(\frac{6}{5}\).

Explanation: In the above-given question, given that, \(\frac{4}{3}\). 4/3 = 4 thirds. 4/3 = 1.33. \(\frac{6}{5}\). 6/5 = 6 fifths. 6/5 = 1.2. 1.33 > 1.2. 4 thirds are greater than 6 fifths. 4/3 > 6/5.

Question 3. Use any method to compare the fractions. Record your answer using >, <, or =. a. \(\frac{3}{4}\) __________ \(\frac{7}{8}\)

Answer: \(\frac{3}{4}\) __<___ \(\frac{7}{8}\).

Explanation: In the above-given question, given that, \(\frac{3}{4}\). 3/4 = 3 fourths. 3/4 = 0.75. \(\frac{7}{8}\). 7/8 = 7 eights. 7/8 = 0.875. 0.75 < 0.87. 3 fourths are less than 7 eights. 3/4 < 7/8.

b. \(\frac{6}{8}\) __________ \(\frac{3}{5}\)

Answer: \(\frac{6}{8}\) __<___ \(\frac{3}{5}\).

Explanation: In the above-given question, given that, \(\frac{6}{8}\). 6/8 = 6 eights. 6/8 = 0.75. \(\frac{3}{5}\). 3/5 = 3 fifths. 3/5 = 0.6. 0.75 > 0.6. 6 eights are greater than 3 fifths. 6/8 > 3/5.

c. \(\frac{6}{4}\) __________ \(\frac{8}{6}\)

Answer: \(\frac{6}{4}\) __>___ \(\frac{8}{6}\).

Explanation: In the above-given question, given that, \(\frac{6}{4}\). 6/4 = 6 fourths. 6/4 = 1.5 \(\frac{8}{6}\). 8/6 = 8 sixths. 8/6 = 1.33. 1.5 > 1.33. 6 fourths are greater than 8 sixths. 6/4 > 8/6.

d. \(\frac{8}{5}\) __________ \(\frac{9}{6}\)

Answer: \(\frac{8}{5}\) __<___ \(\frac{9}{6}\).

Explanation: In the above-given question, given that, \(\frac{8}{5}\). 8/5 = 8 fifths. 8/5 = 1.6. \(\frac{9}{6}\). 9/6 = 9 sixths. 9/6 = 1.5. 1.6 > 1.5. 8 fifths are greater than 9 sixths. 8/5 > 9/6.

Question 4. Explain two ways you have learned to compare fractions. Provide evidence using words, pictures, or numbers.

Eureka Math Grade 4 Module 5 Lesson 15 Exit Ticket Answer Key

Draw an area model for each pair of fractions, and use it to compare the two fractions by writing >, <, or = on the line.

Question 1. \(\frac{3}{4}\) ________ \(\frac{4}{5}\)

Answer: \(\frac{3}{4}\) __<___ \(\frac{4}{5}\).

Explanation: In the above-given question, given that, \(\frac{3}{4}\). 3/4 = 3 fourths. 3/4 = 0.75. \(\frac{4}{5}\). 4/5 = 4 fifths. 4/5 = 0.8. 0.75 < 0.8. 3 fourths are less than 4 fifths. 3/4 < 4/5.

Question 2. \(\frac{2}{6}\) ________ \(\frac{3}{5}\)

Answer: \(\frac{2}{6}\) __>___ \(\frac{3}{5}\).

Explanation: In the above-given question, given that, \(\frac{3}{5}\). 3/5 = 3 fifths. 3/5 = 0.6. \(\frac{2}{6}\). 2/6 = 2 sixths. 2/6 = 0.33. 0.6 > 0.33. 3 fifths are greater than 2 sixths. 3/5 > 2/6.

Eureka Math Grade 4 Module 5 Lesson 15 Homework Answer Key

Draw an area model for each pair of fractions, and use it to compare the two fractions by writing >, <, or = on the line. The first two have been partially done for you. Each rectangle represents 1.

Answer: \(\frac{1}{2}\) __<___ \(\frac{3}{5}\).

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 1 twos. 1/2 = 0.5. \(\frac{3}{5}\). 3/5 = 3 fifths. 3/5 = 0.6. 0.5 < 0.6. 1 two are less than 3 fifths. 1/2 < 3/5.

b. \(\frac{2}{3}\) _____ \(\frac{3}{4}\)

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 2 threes. 2/3 = 0.6. \(\frac{3}{4}\). 3/4 = 3 fourths. 3/4 = 0.75. 0.6 < 0.75. 2 threes are less than 3 fourths. 2/3 < 3/4.

c. \(\frac{4}{6}\) _______ \(\frac{5}{8}\)

Answer: \(\frac{4}{6}\) __=__ \(\frac{5}{8}\).

Explanation: In the above-given question, given that, \(\frac{4}{6}\). 4/6 = 4 sixths. 4/6 = 0.6. \(\frac{5}{8}\). 5/8 = 5 eights. 5/8 = 0.625. 0.6 = 0.75. 4 sixths are equal to 5 eights. 4/6 = 5/8.

d. \(\frac{2}{7}\) _____ \(\frac{3}{5}\)

Answer: \(\frac{2}{7}\) __<___ \(\frac{3}{5}\).

Explanation: In the above-given question, given that, \(\frac{2}{7}\). 2/7 = 2 sevenths. 2/7 = 0.28. \(\frac{3}{5}\). 3/5 = 3 fifths. 3/5 = 0.6. 0.28 < 0.6. 2 sevenths are less than 3 fifths. 2/7 < 3/5.

e. \(\frac{4}{6}\) __________ \(\frac{6}{9}\)

Answer: \(\frac{4}{6}\) __=___ \(\frac{6}{9}\).

Explanation: In the above-given question, given that, \(\frac{4}{6}\). 4/6 = 4 sixths. 4/6 = 0.6. \(\frac{6}{9}\). 6/9 = 6 ninths. 6/9 = 0.6. 0.6 = 0.6. 4 sixths are equal t0 6 ninths. 4/6 = 6/9.

f. \(\frac{4}{5}\) _______ \(\frac{5}{6}\)

Answer: \(\frac{4}{5}\) __<___ \(\frac{5}{6}\).

Explanation: In the above-given question, given that, \(\frac{4}{5}\). 4/5 = 4 fifths. 4/5 = 0.8. \(\frac{5}{6}\). 5/6 = 5 sixths. 5/6 = 0.83. 0.8 = 0.8. 4 fifths are equal to 5 sixths. 4/5 = 5/6.

Question 2. Rename the fractions, as needed, using multiplication in order to compare each pair of fractions by writing >, <, or =.

a. \(\frac{2}{3}\) __________ \(\frac{2}{4}\)

Answer: \(\frac{2}{3}\) __>___ \(\frac{2}{4}\).

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 2 thirds. 2/3 = 0.6. \(\frac{2}{4}\). 2/4 = 2 fourths. 2/4 = 0.5. 0.6 > 0.5. 2 thirds are greater than 2 fourths. 2/3 > 2/4.

b. \(\frac{4}{7}\) __________ \(\frac{1}{2}\)

Answer: \(\frac{4}{5}\) __<___ \(\frac{1}{2}\).

Explanation: In the above-given question, given that, \(\frac{4}{5}\). 4/5 = 4 fifths. 4/5 = 0.8. \(\frac{1}{2}\). 1/2 = 1 twos. 1/2 = 0.5. 0.8 > 0.5. 4 fifths are greater than 1 two. 4/5 > 1/2.

c. \(\frac{5}{4}\) _________ \(\frac{9}{8}\)

Answer: \(\frac{5}{4}\) __<___ \(\frac{9}{8}\).

Explanation: In the above-given question, given that, \(\frac{5}{4}\). 5/4 = 5 fourths. 5/4 = 1.25. \(\frac{9}{8}\). 9/8 = 9 eights. 9/8 = 1.125. 1.25 > 1.125. 5 fourths are greater than 9 eights. 5/4 > 9/8.

d. \(\frac{8}{12}\) _____ \(\frac{5}{8}\)

Answer: \(\frac{8}{12}\) __=___ \(\frac{5}{8}\).

Explanation: In the above-given question, given that, \(\frac{8}{12}\). 8/12 = 8 twelfths. 8/12 = 0.6. \(\frac{5}{8}\). 5/8 = 5 eights. 5/8 = 0.625. 0.6 = 0.6. 8 twelfths are less than 5 eighths. 8/12 = 5/18.

Question 3. Use any method to compare the fractions. Record your answer using >, <, or =. a. \(\frac{8}{9}\) __________ \(\frac{2}{3}\)

Answer: \(\frac{8}{9}\) __>___ \(\frac{2}{3}\).

Explanation: In the above-given question, given that, \(\frac{8}{9}\). 8/9 = 8 nines. 8/9 = 0.88. \(\frac{2}{3}\). 2/3 = 2 thirds. 2/3 = 0.6. 0.88 > 0.6. 8 nines are greater than 2 thirds. 8/9 > 2/3.

b. \(\frac{4}{7}\) __________ \(\frac{4}{5}\)

Answer: \(\frac{4}{7}\) __<___ \(\frac{4}{5}\).

Explanation: In the above-given question, given that, \(\frac{4}{7}\). 4/7 = 4 sevens. 4/7 = 0.5. \(\frac{4}{5}\). 4/5 = 4 fives. 4/5 = 0.8. 0.5 < 0.8. 4 sevens are less than 4 fives. 4/7 < 4/5.

c. \(\frac{3}{2}\) __________ \(\frac{9}{6}\)

Answer: \(\frac{3}{2}\) __<___ \(\frac{9}{6}\).

Explanation: In the above-given question, given that, \(\frac{3}{2}\). 3/2 = 3 twos. 3/2 = 1.5. \(\frac{9}{6}\). 9/6 = 9 sixths. 9/6 = 1.5. 1.5 = 1.5. 3 twos are equal to 9 sixths. 3/2 = 9/6.

d. \(\frac{11}{7}\) __________ \(\frac{5}{3}\)

Answer: \(\frac{11}{7}\) __>___ \(\frac{5}{3}\).

Explanation: In the above-given question, given that, \(\frac{11}{7}\). 11/7 = 11 sevens. 11/7 = 1.57. \(\frac{5}{3}\). 5/3 = 5 thirds. 5/3 = 0.75. 1.57 > 0.75. 11 sevens are less than 5 thirds. 11/7 > 5/3.

Question 4. Explain which method you prefer using to compare fractions. Provide an example using words, pictures, or numbers.

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