Unit 4 Assessment - Dividing Fractions

1. IM G6 U4 End-A P4

Divide.

$4 \div \frac{3}{5}$

A.

$\frac{12}{5}$

B.

$\frac{3}{20}$

C.

$6\frac{3}{5}$

D.

$6\frac{2}{3}$

E.

$\frac{4}{15}$

Answer: D

2. IM G6 U4 End-A P4

Divide.

$\frac{2}{9} \div \frac{4}{3}$

A.

$\frac{8}{27}$

B.

$6$

C.

$\frac{1}{6}$

D.

$\frac{27}{8}$

E.

$\frac{1}{3}$

Answer: C

3. IM G6 U4 End-A P4

Divide.

$\frac{9}{4} \div \frac{15}{8}$

A.

$\frac{5}{6}$

B.

$4\frac{7}{32}$

C.

$\frac{32}{135}$

D.

$1\frac{7}{8}$

E.

$1\frac{1}{5}$

Answer: E

4. IM G6 U4 End-A P4

Divide.

$5\frac{2}{3} \div \frac{2}{3}$

A.

$3\frac{7}{9}$

B.

$7\frac{1}{2}$

C.

$5$

D.

$8\frac{1}{2}$

E.

$\frac{2}{17}$

Answer: D

5. NY G6 2024 Q15

Ben purchases $1\frac{1}{4}$ pounds of nuts and puts them into bags. Each bag holds $\frac{1}{8}$ pound of nuts. He uses all the nuts to fill each bag completely. How many bags does Ben fill with nuts?

A.

$\frac{5}{32}$

B.

$1\frac{1}{8}$

C.

$2$

D.

$10$

Answer: D

6. IM G6 U4 End-A P2

Priya opened a new bag of soil and used $2\frac{1}{2}$ pounds of soil, which is $\frac{5}{8}$ of the bag. How many pounds of soil were in the full bag?

Write a multiplication equation or a division equation to represent the question, and then find the answer.

Answer:

Sample response: $\frac{5}{8} \boldcdot {?} = 2\frac{1}{2}$ , or $2\frac{1}{2} \div \frac{5}{8} = {?}$

There were 4 pounds of soil in the bag, because $2\frac{1}{2} \boldcdot \frac{8}{5} = \frac{40}{10} = 4$ .

7. IM G6 U4 End-A P1

Mai biked $6 \frac34$ miles today, and Noah biked $4 \frac12$ miles. How many times the length of Noah's bike ride was Mai's bike ride?

Answer:

$\frac32$ times as far, or $1\frac{1}{2}$ times as far

8. NY G6 2025 Q43

The top of a rectangular table has a width of $3\frac{1}{3}$ feet and an area of $21\frac{2}{3}$ square feet.

What is the length, in feet, of the top of the table?

Show your work.

Answer:

$6\frac{1}{2}$ feet