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
Eureka Math Grade 4 Module 5 Lesson 5 Problem Set Answer Key 1

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
Eureka Math Grade 4 Module 5 Lesson 5 Problem Set Answer Key 2

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

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

b. 3 rows
Eureka Math Grade 4 Module 5 Lesson 5 Exit Ticket Answer Key 5

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
Eureka Math Grade 4 Module 5 Lesson 5 Homework Answer Key 6

b. 2 rows
Eureka Math Grade 4 Module 5 Lesson 5 Homework Answer Key 7

c. 4 rows
Eureka Math Grade 4 Module 5 Lesson 5 Homework Answer Key 8

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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