## Engage NY Eureka Math 4th Grade Module 5 Lesson 3 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 3 Problem Set Answer Key

Question 1.

Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence. The first one has been done for you.

a.

Answer:

3/4 = 1/4 + 1/4 + 1/4.

3/4 = 3 x 1/4.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

3/4 = 1/4 + 1/4 + 1/4.

3/4 = 1/4 + 1 /4 + 1/4.

3/4 = 3 x 1/4.

b.

Answer:

2/5 = 1/5 + 1/5.

2/5 = 2 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

2/5 = 1/5 + 1/5.

2/5 = 1/5 + 1 /5.

2/5 = 2 x 1/5.

c.

Answer:

5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

5/6 = 5 x 1/6.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

5/6 = 1/6 + 2 /6 + 1/6 + 1/6.

5/6 = 5/6 x 1/6.

d.

Answer:

6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 +1/8.

6/8 = 6/8 x 1/8.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 +1/8.

6/8 = 1/8 + 2 /8 + 2/8 + 1/8.

6/8 = 6/8 x 1/8.

e.

Answer:

1 = 1/4 + 1/4 + 1/4 + 1/4.

1/4 = 1 x 1/4.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

1 = 1/4 + 1/4 + 1/4 + 1/4.

1 = 1/4 + 2/4 + 1/4.

1/4 = 1 x 1/4.

Question 2.

Write the following fractions greater than 1 as the sum of two products.

a.

Answer:

1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

1= 1 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

1 = 1/5 + 2/5 + 1/5.

1 = 1 x 1/5.

b.

Answer:

1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

1/6 = 1 x 1/6.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

1 = 1/6 x 1.

1/6 = 1 x 1/6.

Question 3.

Draw a tape diagram, and record the given fraction’s decomposition into unit fractions as a multiplication sentence.

a. \(\frac{4}{5}\)

Answer:

4/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

4/5 = 4 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

4/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

4/5 = 1/5 + 2/5 + 1/5.

4/5 = 4 x 1/5.

b. \(\frac{5}{8}\)

Answer:

5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8.

5/8 = 5 x 1/8.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8.

5/8 = 1/8 + 2/8 + 2/8.

5/8 = 5 x 1/8.

c. \(\frac{7}{9}\)

Answer:

7/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.

7/9 = 7 x 1/9.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

7/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.

7/9 = 1/9 + 2/9 + 2/9 + 2/9.

7/9 = 7 x 1/9.

d. \(\frac{7}{4}\)

Answer:

7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4.

7/4 = 7 x 1/4.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4.

7/4 = 1/4 + 2/4 + 2/4 + 2/4.

7/4 = 7 x 1/4.

e. \(\frac{7}{6}\)

Answer:

7/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

7/6 = 7 x 1/6.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

7/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

7/6 = 1/6 + 2/6 + 2/6 + 2/6.

7/6 = 7 x 1/6.

### Eureka Math Grade 4 Module 5 Lesson 3 Exit Ticket Answer Key

Question 1.

Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence.

a.

Answer:

2/3 = 1/3 + 1/3.

2/3 = 2 x 1/3.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

2/3 = 1/3 + 1/3.

2/3 = 2 x 1/3.

b.

Answer:

1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

1 = 1 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

1 = 1/5 + 1/5.

1 = 1 x 1/5.

Question 2.

Draw a tape diagram, and record the given fraction’s decomposition into unit fractions as a multiplication sentence.

\(\frac{6}{9}\)

Answer:

6/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.

6/9 = 6 x 1/9.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

6/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.

6/9 = 1/9 + 2/9 + 2/9 + 1/9.

6/9 = 6 x 1/9.

### Eureka Math Grade 4 Module 5 Lesson 3 Homework Answer Key

Question 1.

Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence. The first one has been done for you.

a.

b.

Answer:

3/4 = 1/4 + 1/4 + 1/4.

3/4 = 3 x 1/4.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

3/4 = 1/4 + 1/4 + 1/4.

3/4 = 1/4 + 2/4.

3/4 = 3 x 1/4.

c.

Answer:

4/5 = 1/5 + 1/5 + 1/5 + 1/5.

4/5 = 4 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

4/5 = 1/5 + 1/5 + 1/5 + 1/5.

4/5 = 1/5 + 2/5 + 1/5.

4/5 = 4 x 1/5.

d.

Answer:

5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

5/6 = 5 x 1/6.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

5/6 = 1/6 + 2/6 + 2/6

5/6 = 5 x 1/6.

Question 2.

Write the following fractions greater than 1 as the sum of two products.

a.

Answer:

1 = 1/4 + 1/4 + 1/4 + 1/4.

1 = 1 x 1/4.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

1 = 1/4 + 2/4 + 1/4.

1 = 1 x 1/4.

b.

Answer:

1 = 1/8 + 1/8 + 1/8 + 1/8.

1 = 1 x 1/8.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

1 = 1/8 + 1/8 + 1/8 + 1/8.

1 = 1/8 + 2/8 + 1/8.

1 = 1 x 1/8.

Question 3.

Draw a tape diagram, and record the given fraction’s decomposition into unit fractions as a multiplication sentence.

a. \(\frac{3}{5}\)

Answer:

3/5 = 1/5 + 1/5 + 1/5.

3/5 = 3 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

3/5 = 1/5 + 1/5 + 1/5.

3/5 = 1/5 + 2/5.

3/5 = 3 x 1/5.

b. \(\frac{3}{8}\)

Answer:

3/8 = 1/8 + 1/8 + 1/8.

3/8 = 3 x 1/8.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

3/8 = 1/8 + 1/8 + 1/8.

3/8 = 1/8 + 2/8.

3/8 = 3 x 1/8.

c. \(\frac{5}{9}\)

Answer:

5/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9.

5/9 = 5 x 1/9.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

5/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9.

5/9 = 1/9 + 2/9 + 2/9.

5/9 = 5 x 1/9.

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

Answer:

8/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

8/5 = 8 x 1/5.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

8/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

8/5 = 1/5 + 2/5 + 3/5 + 2/5.

8/5 = 8 x 1/5.

e. \(\frac{12}{4}\)

Answer:

12/4 = 1/4 + 2/4+ 3/4 + 4/4 + 1/4.

12/4 = 12 x 1/4.

Explanation:

In the above-given question,

given that,

write the equivalent multiplication sentence.

12/4 = 1/4 + 2/4+ 3/4 + 4/4 + 1/4.

12/4 = 1/4 + 4/4 + 2/4 + 3/4 + 2/4.

12/4 = 12 x 1/4.