## 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.

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.

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.

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.

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.

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.

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.

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. $$\frac{4}{5}$$

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. $$\frac{5}{8}$$

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. $$\frac{7}{9}$$

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. $$\frac{7}{4}$$

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. $$\frac{7}{6}$$

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.

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.

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.
$$\frac{6}{9}$$

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.

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.

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.

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.

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.

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. $$\frac{3}{5}$$

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. $$\frac{3}{8}$$

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. $$\frac{5}{9}$$

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. $$\frac{8}{5}$$

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. $$\frac{12}{4}$$