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

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

Question 1.
Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
a. 2 rows

1/4 = 2 x 1/8Â  = 2/8.

Explanation:
In the above-given question,
given that,
2 rows.
1/4 = 2/8
1/4 = 1/8 + 1/8 = 2/8.
1/4 = 2 x 1/8 = 2/8.

b. 2 rows

1/5 = 2 x 1/10Â  = 2/10.

Explanation:
In the above-given question,
given that,
2 rows.
1/5 = 2/5
1/5 = 1/10 + 1/10 = 2/10.
1/5 = 2 x 1/10 = 2/10.

c. 4 rows

1/3 = 4 x 1/6 = 4/6.

Explanation:
In the above-given question,
given that,
2 rows.
1/3 = 2/3
1/3 = 1/6 + 1/6 = 2/6.
1/3 = 4 x 1/6 = 4/6.

Question 2.
Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.
a. $$\frac{1}{2}$$ = $$\frac{3}{6}$$

1/2 = 1/2 + 1/2 + 1/2.
1/2 = 3/6.

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

b. $$\frac{1}{2}$$ = $$\frac{4}{8}$$

1/2 = 1/2 + 1/2 + 1/2.
1/2 = 3/6.

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

c. $$\frac{1}{2}$$ = $$\frac{5}{10}$$

1/2 = 1/4 + 1/2 + 1/2.
1/2 = 3/6.

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

d. $$\frac{1}{3}$$ = $$\frac{2}{6}$$
e. $$\frac{1}{3}$$ = $$\frac{4}{12}$$
f. $$\frac{1}{4}$$ = $$\frac{3}{12}$$

Question 3.
Explain why $$\frac{1}{12}+\frac{1}{12}+\frac{1}{12}$$ is the same as $$\frac{1}{4}$$.

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

Question 1.
Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
a. 2 rows

b. 3 rows

Question 2.
Draw an area model to show the decomposition represented by the number sentence below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.
$$\frac{3}{5}$$ = $$\frac{6}{10}$$

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

Question 1.
Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
a. 3 rows

b. 2 rows

c. 4 rows

Question 2.
Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.
a. $$\frac{1}{3}$$ = $$\frac{2}{6}$$
b. $$\frac{1}{3}$$ = $$\frac{3}{9}$$
c. $$\frac{1}{3}$$ = $$\frac{4}{12}$$
d. $$\frac{1}{3}$$ = $$\frac{5}{15}$$
e. $$\frac{1}{5}$$ = $$\frac{2}{10}$$
f. $$\frac{1}{5}$$ = $$\frac{3}{15}$$

Question 3.
Explain why $$\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}$$ is the same as $$\frac{1}{3}$$.

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