## 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

Answer:

1/4 = 2 x 1/8 = 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

Answer:

1/5 = 2 x 1/10 = 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

Answer:

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. \(\frac{1}{2}\) = \(\frac{3}{6}\)

Answer:

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. \(\frac{1}{2}\) = \(\frac{4}{8}\)

Answer:

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. \(\frac{1}{2}\) = \(\frac{5}{10}\)

Answer:

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 \(\frac{1}{3}\).