Engage NY Eureka Math 3rd Grade Module 5 End of Module Assessment Answer Key

Question 1.
Jerry put 7 equally spaced hooks on a straight wire so students could hang up their coats. The whole length is from the first hook to the last hook.
a. On the picture below, label the fraction of the wire’s length where each hook is located.

b. At what fraction is Betsy’s coat if she hangs it at the halfway point?
c. Write a fraction that is equivalent to your answer for Part (b).

At $$\frac{3}{6}$$ fraction the Betsy’s coat hangs at half way .
$$\frac{3}{6}$$ = $$\frac{4}{8}$$

Question 2.
Jerry used the picture below to show his son how to find a fraction equal to $$\frac{2}{3}$$. Explain what Jerry might have said and done using words, pictures, and numbers.

Jerry took a rectangle strip which is divided into 3 parts equally . 2 parts are shaded and 1 part is unshaded.
It the fraction of shaded parts to total parts that is $$\frac{2}{3}$$ .

Question 3.
Jerry and his son have the exact same granola bars. Jerry has eaten $$\frac{3}{6}$$ of his granola bar. His son has eaten $$\frac{3}{8}$$ of his own granola bar. Who has eaten more? Explain your answer using words, pictures, and numbers.

Explanation :
From the above figure we notice that jerry ate more granola bar than jerry’s son.

Question 4.
Jerry has a fruit roll that is 4 feet long.
a. Label the number line to show how Jerry might cut his fruit roll into pieces $$\frac{1}{3}$$ of a foot long. Label every fraction on the number line, including renaming the wholes.

b. Jerry cut his fruit roll into pieces that are $$\frac{1}{3}$$ of a foot long. Jerry and his 2 sons each eat one piece. What fraction of the whole fruit roll is eaten? Explain your answer using words, pictures, and numbers.
c. Jerry’s son says that 1 third is the same as 2 sixths. Do you agree? Why or why not? Use words, pictures, and numbers to explain your answer.

Explanation :
Fraction of each peice = $$\frac{1}{3}$$
Jerry and his 2 sons each eat= 3 People = 3 $$\frac{1}{3}$$  = 1 whole is eaten by them .

Explanation :
Yes , $$\frac{1}{3}$$  is equal to $$\frac{2}{6}$$ .
Number line is drawn the $$\frac{1}{3}$$ and $$\frac{1}{6}$$  are at the same as shown in above figure .