## Engage NY Eureka Math 3rd Grade Module 5 Lesson 22 Answer Key

### Eureka Math Grade 3 Module 5 Lesson 22 Problem Set Answer Key

Write the shaded fraction of each figure on the blank. Then, draw a line to match the equivalent fractions.

Explanations :
The fraction of shaded parts = Number of shaded parts ÷ Total Number of Parts .
All the fractions are written and the respective fractions are matched .

Question 2.
Write the missing parts of the fractions.

Explanations :
The fraction of shaded parts = Number of shaded parts ÷ Total Number of Parts .
The Shaded fractions are written .

Question 3.
Why does it take 2 copies of $$\frac{1}{8}$$ to show the same amount as 1 copy of $$\frac{1}{4}$$? Explain your answer in words and pictures.

Explanation :
Because, the parts in 1/8 is doubled than 1/4, so, we need to double the copies.
Since, by the Above diagram,

Thus, the parts in 1/8 is doubled than 1/4, so, we need to double the copies.

Question 4.
How many sixths does it take to make the same amount as $$\frac{1}{3}$$ ? Explain your answer in words and pictures.

Explanation :
The Rectangular strip is divided into 3 parts and 6 parts . The first strip is marked $$\frac{1}{3}$$ and the second is marked $$\frac{2}{6}$$ which means $$\frac{1}{3}$$ is equal to $$\frac{2}{6}$$.
It takes two one-sixths to make a third.

Question 5.
Why does it take 10 copies of 1 sixth to make the same amount as 5 copies of 1 third? Explain your answer in words and pictures.

Explanation :
The Sixths have as many as units as thirds .
So, $$\frac{10}{6}$$ are as equal as $$\frac{5}{3}$$ copies as shown in above figure .

### Eureka Math Grade 3 Module 5 Lesson 22 Exit Ticket Answer Key

Question 1.
Draw and label two models that show equivalent fractions.

Explanation :
From The above figure we notice
The First rectangular strip is divided into 2 equal parts and fraction shaded is $$\frac{1}{2}$$ .
The Second rectangular strip is divided into 6 equal parts and the fraction shaded is $$\frac{3}{6}$$ .
Both show the equivalent fraction $$\frac{1}{2}$$ = $$\frac{3}{6}$$ .

Question 2.

Explanation :
The number is represented for the above equivalent Fraction $$\frac{1}{2}$$ = $$\frac{3}{6}$$ .

### Eureka Math Grade 3 Module 5 Lesson 22 Homework Answer Key

Question 1.
Write the shaded fraction of each figure on the blank. Then, draw a line to match the equivalent fractions.

Explanation :
The fraction of shaded parts = Number of shaded parts ÷ Total Number of Parts .
All the fractions are written and the respective fractions are matched .

Question 2.
Complete the fractions to make true statements.

Explanation :
The Figures are divided into double and the shaded Fractions are compared .

Question 3.
Why does it take 3 copies of $$\frac{1}{6}$$ to show the same amount as 1 copy of $$\frac{1}{2}$$? Explain your answer in words and pictures.

Explanation :
The Two tape Diagram Shows 3 copies of $$\frac{3}{6}$$ is the same length as 1 copy of $$\frac{1}{2}$$ .

Question 4.
How many ninths does it take to make the same amount as $$\frac{1}{3}$$? Explain your answer in words and pictures.
The Two tape Diagram Shows 3 ninths ( $$\frac{3}{9}$$) is the same length as 1Thirds ($$\frac{1}{3}$$) .
A pie was cut into 8 equal slices. If Ruben ate $$\frac{3}{4}$$ of the pie, how many slices did he eat? Explain your answer using a number line and words.
$$\frac{3}{4}$$ is the same length as $$\frac{6}{8}$$
Ruben ate 6 slices which is $$\frac{6}{8}$$ = $$\frac{3}{4}$$.