## 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.

Answer :

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.

Answer :

Explanation :

Respective colors are marked to the respective Fractions .

Question 3.

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

Answer :

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.

Answer :

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.

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 = \(\frac{2}{2}\) = \(\frac{6}{6}\).

Answer :

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.

Answer :

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.

________________ = ________________

Answer :

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.

Answer :

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.

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 \(\frac{4}{6}\) .