Unit 4 Plan - Grade 6

Title	Assessment
Unit 4 Assessment Unit 4 Assessment - Dividing Fractions	Problem 1 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. $\frac{4}{15}$ Show Solution D Problem 2 Divide. $\frac{2}{9} \div \frac{4}{3}$ A. $\frac{8}{27}$ B. $6$ C. $\frac{1}{6}$ ✓ D. $\frac{27}{8}$ E. $\frac{1}{3}$ Show Solution C Problem 3 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. $1\frac{1}{5}$ Show Solution E Problem 4 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. $\frac{2}{17}$ Show Solution D Problem 5 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. $10$ ✓ Show Solution D Problem 6 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. Show Solution 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 $2\frac{1}{2} \boldcdot \frac{8}{5} = \frac{40}{10} = 4$ . Problem 7 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? Show Solution $\frac32$ times as far, or $1\frac{1}{2}$ times as far Problem 8 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. Show Solution $6\frac{1}{2}$ feet

Problem 1

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.

$\frac{4}{15}$

Show Solution

D

Problem 2

Divide.

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

A.

$\frac{8}{27}$

B.

$6$

C.

$\frac{1}{6}$

✓

D.

$\frac{27}{8}$

E.

$\frac{1}{3}$

Show Solution

C

Problem 3

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.

$1\frac{1}{5}$

Show Solution

E

Problem 4

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.

$\frac{2}{17}$

Show Solution

D

Problem 5

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.

$10$

✓

Show Solution

D

Problem 6

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.

Show Solution

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 $2\frac{1}{2} \boldcdot \frac{8}{5} = \frac{40}{10} = 4$ .

Problem 7

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?

Show Solution

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

Problem 8

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.

Show Solution

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

Unit 4 Dividing Fractions — Unit Plan