Engage NY Eureka Math 4th Grade Module 5 Lesson 2 Answer Key

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

Question 1.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition as a sum of unit fractions.
Step 3: Record the decomposition of the fraction two more ways.
(The first one has been done for you.)
a. \(\frac{5}{8}\)
Eureka Math Grade 4 Module 5 Lesson 2 Problem Set Answer Key 1
b. \(\frac{9}{10}\)

Answer:
9/10 = 1/10 + 2/10 + 2/10 + 3/10 + 1/10.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
9/10 = 1/10 + 2/10 + 2/10 + 3/10 + 1/10.
9/10 = 5 /10 + 4 /10 + 1/10.
9/10 = 3/10 + 2/10 + 3/10 + 1/10.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-1

c. \(\frac{3}{2}\)

Answer:
3/2 = 1/2 + 2/2.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
3/2 = 1/2 + 2/2.
3/2 = 1/2 + 1/2 + 1/2.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-2

Question 2.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences.
a. \(\frac{7}{8}\)

Answer:
7/8 = 1/8 + 2/8 + 2/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
7/8 = 1/8 + 2/8 + 2/8 + 1/8 + 1/8.
7/8 = 1 /8 + 4 /10 + 2/8.
7/8 = 1/8 + 2/8 + 3/8 + 1/8.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-3
b. \(\frac{5}{3}\)

Answer:
5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3.
5/3 = 1 /3 + 2/3 + 2/3.
5/3 = 1/3 + 2/3 + 1/3 + 1/3.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-4

c. \(\frac{7}{5}\)

Answer:
5/7 = 1/7 + 1/7 + 1/7 + 1/7 + 1/7.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/7 = 1/7 + 1/7 + 1/7 + 1/7 + 1/7.
5/7 = 1 /7 + 2/7 + 2/7.
5/7 = 1/7 + 1/7 + 2/7 + 1/7.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-5

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

Answer:
4/3 = 1/3 + 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
4/3 = 1/3 + 1/3 + 1/3 + 1/3.
4/3 = 1 /3 + 2/3 + 1/3.
4/3 = 1/3 + 1/3 + 2/3.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-6

Eureka Math Grade 4 Module 5 Lesson 2 Exit Ticket Answer Key

Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences.
\(\frac{4}{7}\)

Answer:
4/7 = 1/7 + 1/7 + 1/7 + 1/7.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
4/7 = 1/7 + 1/7 + 1/7 + 1/7.
4/7 = 1 /7 + 2/7 + 1/7.
4/7 = 1/7 + 1/7 + 2/7.

Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-7

Eureka Math Grade 4 Module 5 Lesson 2 Homework Answer Key

Question 1.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition as a sum of unit fractions.
Step 3: Record the decomposition of the fraction two more ways.
(The first one has been done for you.)
a. \(\frac{5}{6}\)
Eureka Math 4th Grade Module 5 Lesson 2 Homework Answer Key 5
b. \(\frac{6}{8}\)

Answer:
6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
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 = 1/8 + 2/8 + 3/8.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-8

c. \(\frac{7}{10}\)

Answer:
7/10 = 1/10 + 2/10 + 2/10 + 1/10 + 2/10 + 2/10.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
7/10 = 1/10 + 2/10 + 2/10 + 1/10 + 2/10 + 2/10.
7/10 = 1 /10 + 2/10 + 4/10 + 3/10.
7/10 = 1/10 + 2/10 + 7/10.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-9

Question 2.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences.
a. \(\frac{10}{12}\)

Answer:
10/12 = 1/12 + 2/12 + 3/12 + 1/12 + 2/12 + 1/12.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
10/12 = 1/12 + 2/12 + 3/12 + 1/12 + 2/12 + 1/12.
10/12 = 1 /12 + 2/12 + 4/12 + 3/12.
10/12 = 1/12 + 2/12 + 7/12.

Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-10
b. \(\frac{5}{4}\)

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

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/4 = 1/4 + 2/4 + 1/4 + 1/4.
5/4 = 1 /4 + 24 + 1/4 + 1/4.
5/4 = 1/4 + 2/4 + 1/4.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-11

c. \(\frac{6}{5}\)

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

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/6 = 1/6 + 2/6 + 1/6 + 1/6.
5/6 = 1 /6 + 2/6+ 1/6 + 1/6.
5/6 = 1/6 + 2/6 + 2/6.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-12

d. 1\(\frac{1}{4}\)

Answer:
5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4.
5/4 = 1 /4 + 2/4 + 1/4 + 1/4.
5/4 = 1/4 + 2/4 + 2/4.
Eureka-Math-Grade-4-Module-5-Lesson-2-Answer Key-13

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