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