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

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

Answer:

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.

Answer:

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.

Answer:

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.

Answer :

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

Answer:

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.

Answer:

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.

Answer:

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