## Engage NY Eureka Math 3rd Grade Module 5 Lesson 21 Answer Key

### Eureka Math Grade 3 Module 5 Lesson 21 Problem Set Answer Key

Question 1.
Use the fractional units on the left to count up on the number line. Label the missing fractions on the blanks.

Explanation :
In the First figure the number line is divided into halves and fourths . The respective missing terms are written .
In the Second Figure The number line is divided into halves and Sixths .The respective Missing terms are written .

Question 2.
Use the number lines above to:

• Color fractions equal to 1 half blue.
• Color fractions equal to 1 yellow.
• Color fractions equal to 3 halves green.
• Color fractions equal to 2 red.

Explanation :
Respective colors are marked to the respective Fractions .

Question 3.
Use the number lines above to make the number sentences true.

Question 4.
Jack and Jill use rain gauges the same size and shape to measure rain on the top of a hill. Jack uses a rain gauge marked in fourths of an inch. Jill’s gauge measures rain in eighths of an inch. On Thursday, Jack’s gauge measured $$\frac{2}{4}$$ inches of rain. They both had the same amount of water, so what was the reading on Jill’s gauge Thursday? Draw a number line to help explain your thinking.

Explanation :
Jack Gauges is measured in Fourths and Jill’s Gauges is measured in Eighths.
Jack measures amount of rain = $$\frac{2}{4}$$
Both Gauges measures same . so amount of Rain in jill’s gauges = $$\frac{4}{8}$$ .
It is shown in the figure .

Question 5.
Jack and Jill’s baby brother Rosco also had a gauge the same size and shape on the same hill. He told Jack and Jill that there had been $$\frac{1}{2}$$ inch of rain on Thursday. Is he right? Why or why not? Use words and a number line to explain your answer.
Yes, Rosco is correct .

Explanation :
Rosco is Correct Because his gauges is divided into halves . His amount of rain is equal to $$\frac{1}{2}$$ .
It is clearly shown in the above figure .

### Eureka Math Grade 3 Module 5 Lesson 21 Exit Ticket Answer Key

Question 1.
Claire went home after school and told her mother that 1 whole is the same as $$\frac{2}{2}$$ and $$\frac{6}{6}$$ . Her mother asked why, but Claire couldn’t explain. Use a number line and words to help Claire show and explain why
1 = $$\frac{2}{2}$$ = $$\frac{6}{6}$$.

Explanation :
The number is marked for 1 whole . The 1 whole is divided into halves and sixths . we can $$\frac{2}{2}$$ and $$\frac{6}{6}$$ are marked at the same point. Both the fractions represents 1 so , they are equal .

### Eureka Math Grade 3 Module 5 Lesson 21 Homework Answer Key

Question 1.
Use the fractional units on the left to count up on the number line. Label the missing fractions on the blanks.

Explanation :
In the First figure the number line is divided into fourths and Eighths . The respective missing terms are written .
In the Second Figure The number line is divided into Thirds and Sixths .The respective Missing terms are written .

Question 2.
Use the number lines above to:

• Color fractions equal to 1 purple.
• Color fractions equal to 2 fourths yellow.
• Color fractions equal to 2 blue.
• Color fractions equal to 5 thirds green.
• Write a pair of fractions that are equivalent.

________________ = ________________

Explanation :
Respective colors are marked for the respective fractions .

Question 3.
Use the number lines on the previous page to make the number sentences true.

Question 4.
Mr. Fairfax ordered 3 large pizzas for a class party. Group A ate $$\frac{6}{6}$$ of the first pizza, and Group B ate $$\frac{8}{6}$$ of the remaining pizza. During the party, the class discussed which group ate more pizza.
a. Did Group A or B eat more pizza? Use words and pictures to explain your answer to the class.
b. Later, Group C ate all remaining slices of pizza. What fraction of the pizza did group C eat? Use words and pictures to explain your answer.

a.
Each pizza is divided into 6 equal parts .
The Group A ate 1 complete pizza of 6 slices . 6 slices is equal to 1 pizza .
The Group B ate 1 complete pizza and 2 slices of third pizza that means total 8 slices of pizza .
Group B ate 2 slices more than Group A .
b.
Group B ate 2 slices of third pizza that means 4 slices are remaining . This remaining slices are eaten by Group C.
The Fraction of Group C ate is $$\frac{4}{6}$$ .