## Engage NY Eureka Math 3rd Grade Module 5 Lesson 13 Answer Key

### Eureka Math Grade 3 Module 5 Lesson 13 Problem Set Answer Key

Question 6.
Use the diagram below to complete the following statements.

a. Rope ____________ is $$\frac{1}{2}$$ the length of Rope B.
b. Rope ____________ is $$\frac{1}{2}$$ the length of Rope A.
c. Rope C is $$\frac{1}{4}$$ the length of Rope ____________.
d. If Rope B measures 1 m long, then Rope A is ____________ m long, and Rope C is ____________ m long.
e. If Rope A measures 1 m long, Rope B is ____________ m long, and Rope C is ____________ m long.
a. Rope C is $$\frac{1}{2}$$ the length of Rope B.
b. Rope B is $$\frac{1}{2}$$ the length of Rope A.
c. Rope C is $$\frac{1}{4}$$ the length of Rope A.
d. If Rope B measures 1 m long, then Rope A is 2 m long, and Rope C is $$\frac{1}{2}$$ long.
e. If Rope A measures 1 m long, Rope B is$$\frac{1}{2}$$  long, and Rope C is $$\frac{1}{4}$$m long.

Question 7.
Ms. Fan drew the figure below on the board. She asked the class to name the shaded fraction. Charlie answered $$\frac{3}{4}$$. Janice answered $$\frac{3}{2}$$. Jenna thinks they’re both right. With whom do you agree? Explain your thinking.

Explanation :
From figure one if the Big rectangle is considered as 1 whole then $$\frac{3}{4}$$ is right .
From figure Two if the Small rectangle is considered as 1 whole then $$\frac{3}{2}$$ is right .
It is based on the consideration of Rectangles as 1 whole .

### Eureka Math Grade 3 Module 5 Lesson 13 Exit Ticket Answer Key

Ms. Silverstein asked the class to draw a model showing $$\frac{2}{3}$$ shaded. Karol and Deb drew the models below. Whose model is correct? Explain how you know.

Both the Models are correct
Explanation :
Karol’s Diagram is a rectangle box where $$\frac{2}{3}$$ is shaded and in Deb;s diagram 3 rhombus are drawn and 2 are shaded even that represent $$\frac{2}{3}$$ ..
So, both diagrams represent $$\frac{2}{3}$$ fractions.

### Eureka Math Grade 3 Module 5 Lesson 13 Homework Answer Key

Question 5.
Use the pictures below to complete the following statements.

a. Towel Rack ____________ is about $$\frac{1}{2}$$ the length of Towel Rack C.
b. Towel Rack ____________ is about $$\frac{1}{3}$$ the length of Towel Rack C.
c. If Towel Rack C measures 6 ft long, then Towel Rack B is about ____________ ft long, and Towel Rack A is about ____________ ft long.
d. About how many copies of Towel Rack A equal the length of Towel Rack C? Draw number bonds to help you.
e. About how many copies of Towel Rack B equal the length of Towel Rack C? Draw number bonds to help you.
a. Towel Rack B is about $$\frac{1}{2}$$ the length of Towel Rack C.
b. Towel Rack A is about $$\frac{1}{3}$$ the length of Towel Rack C.
c. If Towel Rack C measures 6 ft long, then Towel Rack B is about 3 ft long, and Towel Rack A is about 2 ft long.
Explanation :
Towel Rack B is about $$\frac{1}{2}$$ the length of Towel Rack C.
Towel Rack C = 6 ft
Towel Rack B = 6 / 2 = 3 ft.
Towel Rack A is about $$\frac{1}{3}$$ the length of Towel Rack C.
Towel A = 6/3 = 2 ft .

d. 3 copies of Towel Rack A equal the length of Towel Rack C

e. 2 copies of Towel Rack B equal the length of Towel Rack C

Question 6.
Draw 3 strings—B, C, and D—by following the directions below. String A is already drawn for you.
String B is $$\frac{1}{3}$$ of String A.
String C is $$\frac{1}{2}$$ of String B.
String D is $$\frac{1}{3}$$ of String C.
Extension: String E is 5 times the length of String D.

Explanation :
String B is $$\frac{1}{3}$$ of String A.
String C is $$\frac{1}{2}$$ of String B.
String C is $$\frac{1}{2}$$ × $$\frac{1}{3}$$  of String A
= String C is $$\frac{1}{6}$$  of String A
String D is $$\frac{1}{3}$$ of String C.
String D is $$\frac{1}{3}$$ × $$\frac{1}{6}$$  of String A
= String D is $$\frac{1}{18}$$ of string A
Extension: String E is 5 times the length of String D.
String D is $$\frac{1}{18}$$ of string A So,
String E is 5 $$\frac{1}{18}$$ of string A
= String E is  $$\frac{5}{18}$$ of string A

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