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6 Math IM U4 Dividing Fractions Review

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

The construction engineer calculated that he needed 6 support pillars of equal size. He ordered 23\frac{2}{3} of a ton of concrete to make the support pillars.  How much concrete did he use for each support pillar?  

a)

4 tons

b)

9 tons

c)

 19\frac{1}{9} of a ton

d)

 14\frac{1}{4}   of a ton

2.

Jamie divided  34\frac{3}{4} of a gallon of cleaner evenly between 2 smaller bottles.  How many gallons did she put in each bottle?  

a)

 32\frac{3}{2}  gallons

b)

4 gallons

c)

 38\frac{3}{8}   of a gallon

d)

 83\frac{8}{3}   gallons

3.

Tilers used  9 129\ \frac{1}{2}   boxes of tile to cover the floor in two rooms. Each room they tiled was the same size. How many boxes of tile did they use for each room?

a)

 194\frac{19}{4}   boxes

b)

 419\frac{4}{19}    boxes

c)

19 boxes

d)

4 boxes

4.

A cookie factory uses 25\frac{2}{5} of a barrel of oatmeal in each batch of cookies. The factory used  45\frac{4}{5}   of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?

a)

  258\frac{25}{8}  batches

b)

 825\frac{8}{25}   of a batch

c)

 12\frac{1}{2}   batch

d)

2 batches

5.

There are 3 383\ \frac{3}{8}  pounds of large rocks in a bag. Each rock weighs  38\frac{3}{8}   of a pound. How many rocks are in the bag?

a)

6 rocks

b)

9 rocks

c)

 98\frac{9}{8}   rocks

d)

 19 \frac{1}{9\ }  of a rock

6.

The drink containers at Panera each hold the same amount of water. Gabriel used 3 353\ \frac{3}{5}  pitchers of water to fill 6 containers. How many pitchers of water did he pour into each container?

a)

 1085\frac{108}{5}   pitchers

b)

 35\frac{3}{5}   of a pitcher

c)

 53\frac{5}{3}  pitchers

d)

 5108\frac{5}{108}   of a pitcher

7.

Sofia used  1 121\ \frac{1}{2} bags of peaches to make 3 pies. How many bags of peaches did she use for each pie?

a)

 92\frac{9}{2}   bags

b)

 29\frac{2}{9}   of a bag

c)

 12\frac{1}{2}   of a bag

d)

 34\frac{3}{4}   of a bag

8.

A painter used 4 134\ \frac{1}{3}  cans of paint to paint 3 rooms. He used the same amount of paint for each room. How many cans of paint did he use for each room?

a)

 114\frac{1}{14}  of a can

b)

 423\frac{42}{3}   cans

c)

 913\frac{9}{13}   of a can

d)

 139\frac{13}{9}   cans

9.

A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided  25\frac{2}{5}  of an ounce of liquid protein evenly among 4 cell samples. How much liquid protein did she give to each cell sample?

a)

 110\frac{1}{10}  of an ounce

b)

10 ounces

c)

 85\frac{8}{5}  ounces

d)

 58\frac{5}{8}  of an ounce

10.

Every day, the animal shelter uses  1 161\ \frac{1}{6}   bags of dog food to feed the dogs. How many days will  3 123\ \frac{1}{2}   bags of dog food last?

a)

 4912\frac{49}{12}   days

b)

 1249\frac{12}{49}   of a day

c)

3

d)

 13\frac{1}{3}   of a day

11.

Felix made 9 cups of blueberry jam and divided the jam equally among 5 containers. How much jam went into each container?

a)

95\frac{9}{5} cups

b)

59\frac{5}{9} of a cup

c)

45 cups

d)

145\frac{1}{45} of a cup

12.

Dominick needs to determine the number of  23\frac{2}{3}  cup servings in  5 135\ \frac{1}{3}   cups of popcorn for his party. He thinks there are 9 servings is he right?

 5 13  ÷ 23 = 9.5\ \frac{1}{3\ }\ \div\ \frac{2}{3}\ =\ 9.  

a)

yes

b)

no

13.

Complete this equation

 ab ÷ cd = \frac{a}{b}\ \div\ \frac{c}{d}\ =\ -  

a)

 ac ÷ bdac\ \div\ bd  

b)

 ab ÷ cdab\ \div\ cd  

c)

 ad ÷bcad\ \div bc  

14.

 15 ÷ 13\frac{1}{5}\ \div\ \frac{1}{3}  

a)

 115\frac{1}{15}  

b)

 1515  

c)

 35\frac{3}{5}  

d)

 53\frac{5}{3}  

15.

 23 ÷ 12\frac{2}{3}\ \div\ \frac{1}{2}  

a)

 13\frac{1}{3}  

b)

3

c)

 43\frac{4}{3}  

d)

 34\frac{3}{4}  

16.

 1 18 ÷ 781\ \frac{1}{8}\ \div\ \frac{7}{8}  

a)

 97\frac{9}{7}  

b)

 79\frac{7}{9}  

c)

 1 7161\ \frac{7}{16}  

d)

 1 171\ \frac{1}{7}  

17.

 1 13÷ 21\ \frac{1}{3}\div\ 2  

a)

 38\frac{3}{8}  

b)

 32\frac{3}{2}  

c)

 83\frac{8}{3}  

d)

 23\frac{2}{3}  

18.

 2 ÷3 122\ \div3\ \frac{1}{2}  

a)

7/4

b)

4/7

c)

7

d)

1/7

19.

What is the fraction that makes this equation true?

 ?? ÷ 23=316\frac{?}{?}\ \div\ \frac{2}{3}=\frac{3}{16}  

a)

 18\frac{1}{8}  

b)

 88 

c)

 486\frac{48}{6}  

20.

What is the fraction that makes this equation true?

 ?? ÷ 27 =78\frac{?}{?}\ \div\ \frac{2}{7}\ =\frac{7}{8}  

a)

14/54

b)

4

c)

 14\frac{1}{4}  

21.

What fraction makes this equation true?

 ?? ÷ 19 =187\frac{?}{?}\ \div\ \frac{1}{9}\ =\frac{18}{7}  

a)

 72\frac{7}{2}  

b)

 27\frac{2}{7}  

c)

 1862\frac{18}{62}  

22.

Which expression is equivalent to 13÷14\frac{1}{3}\div\frac{1}{4}  

a)

 13  14\frac{1}{3}\ \cdot\ \frac{1}{4}  

b)

 13  41\frac{1}{3}\ \cdot\ \frac{4}{1}  

c)

 31 41\frac{3}{1}\cdot\ \frac{4}{1}  

d)

 31  14\frac{3}{1}\ \cdot\ \frac{1}{4}  

23.

Which expression is equivalent to 214÷122\frac{1}{4}\div\frac{1}{2}  

a)

 94  21\frac{9}{4}\ \cdot\ \frac{2}{1}  

b)

 49  12\frac{4}{9}\ \cdot\ \frac{1}{2}  

c)

 94 12\frac{9}{4}\cdot\ \frac{1}{2}  

d)

 49  21\frac{4}{9}\ \cdot\ \frac{2}{1}  

24.

Which expression is equivalent to 35÷27\frac{3}{5}\div\frac{2}{7}  

a)

 53  27\frac{5}{3}\ \cdot\ \frac{2}{7}  

b)

 35  27\frac{3}{5}\ \cdot\ \frac{2}{7}  

c)

 35 72\frac{3}{5}\cdot\ \frac{7}{2}  

d)

 53  72\frac{5}{3}\ \cdot\ \frac{7}{2}  

25.

 29 ÷ 13\frac{2}{9}\ \div\ \frac{1}{3}  

a)

 23\frac{2}{3}  

b)

 218\frac{2}{18}  

c)

 96\frac{9}{6}  

d)

 99