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Worksheets

Multiply and divde fractions

Total questions: 132

Worksheet time: 6hrs 53mins

Name
Class
Date
1.

627\frac{6}{27}  

Simplify!

a)

29\frac{2}{9}  

b)

13\frac{1}{3}  

c)

39\frac{3}{9}  

d)

Already in simplest form. 

e)

17\frac{1}{7}  

2.

Evaluate  25711\frac{2}{5}\cdot\frac{7}{11}  

a)

2155\frac{21}{55}  

b)

1455\frac{14}{55}  

c)

1450\frac{14}{50}  

d)

2150\frac{21}{50}  

3.

Evaluate  5923\frac{5}{9}\cdot\frac{2}{3}  

a)

712\frac{7}{12}  

b)

1518\frac{15}{18}  

c)

56\frac{5}{6}  

d)

1027\frac{10}{27}  

e)

1024\frac{10}{24}  

4.

Evaluate  211×3\frac{2}{11}\times3  

remember: we can give any whole number a denominator of 1! 

a)

633\frac{6}{33}  

b)

611\frac{6}{11}  

c)

233\frac{2}{33}  

d)

516\frac{5}{16}  

e)

511\frac{5}{11}  

5.

25÷34\frac{2}{5}\div\frac{3}{4}  = 

rewrite! 

a)

25×43\frac{2}{5}\times\frac{4}{3}  

b)

25×34\frac{2}{5}\times\frac{3}{4}  

c)

52×34\frac{5}{2}\times\frac{3}{4}  

6.

25÷34\frac{2}{5}\div\frac{3}{4}  =  25×43=\frac{2}{5}\times\frac{4}{3}=  ?

a)

68\frac{6}{8}  

b)

815\frac{8}{15}  

c)

52×34\frac{5}{2}\times\frac{3}{4}  

d)

11  

7.

27÷13-\frac{2}{7}\div\frac{1}{3}



(a)  

8.

23÷56\frac{2}{3}\div\frac{5}{6}  

a)

1230\frac{12}{30}  

b)

59\frac{5}{9}  

c)

1018\frac{10}{18}  

d)

45\frac{4}{5}  

e)

=1512= 54=\frac{15}{12}=\ \frac{5}{4}  

9.

23÷5\frac{2}{3}\div5  

a)

103\frac{10}{3}  

b)

1015\frac{10}{15}  

c)

215\frac{2}{15}  

d)

23\frac{2}{3}  

10.

6÷346\div\frac{3}{4}  

a)

1824\frac{18}{24}  

b)

2418\frac{24}{18}  

c)

18\frac{1}{8}  

d)

88  

e)

34\frac{3}{4}  

11.

Write the mixed number as an improper fraction

3 4/9

(a)  

12.

Write the mixed number as an improper fraction

2 3/5

(a)  

13.

Compare these fractions

1/5 3/5

a)

=

b)

<

c)

>

14.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
15.

Compare fractions

5/6____1/2

a)

<

b)

>

c)

=

16.
Reduce the following fraction:
36/44
a)
9/11
b)
6/7
c)
4/9
d)
18/22
17.

Compare these fractions

5/6 5/6

a)

>

b)

<

c)

=

18.

Compare fractions

7/8______9/10

a)

<

b)

>

c)

=

19.

Compare these fractions

1/ 8 8/8

a)

<

b)

=

c)

>

20.

5/6______3/4

a)

<

b)

>

c)

=

21.

12÷5 = ?\frac{1}{2}\div5\ =\ ?  

a)

110\frac{1}{10}  

b)

510\frac{5}{10}  

c)

52\frac{5}{2}  

d)

10

22.

8 ÷ 19\frac{1}{9} = ????

(a)  

23.

5 26 x 7 15 = ?5\ \frac{2}{6}\ x\ 7\ \frac{1}{5}\ =\ ?

a)

35 230\frac{2}{30}

b)

38 2538\ \frac{2}{5}

c)

35 11535\ \frac{1}{15}

d)

48 2548\ \frac{2}{5}

24.

Akuma's special move, Gohadoken, inflicts 100 points of damage. His regular punch inflicts 1/5 of the damage. How much damage does Akuma's regular punch inflict?

What is the structure and operation of the problem?

a)

Part of a whole (Scaling down) multiplication

b)

Dividing into equal groups

c)

Combining equal groups multiplication

d)

Area (multiplication)

25.

Reimu Hakure needs to make new ofuda, paper charms, to fight off the ghosts! She has 12 sheets of special paper. If Reimu needs 1/4 sheet to make a new ofuda, how many ofudas can she make?

a)

Combining Equal groups (multiplication)

b)

Dividing to equal groups

c)

Part of a whole multiplication (scaling down)

d)

Area (multiplication)

26.

Moxy purchased 9 gallons of yellow paint to decorate several classrooms at her school. If each classroom needs 14\frac{1}{4} of a gallon of paint, then how many classrooms will get painted?

LABELS MATTER!

(a)  

27.

Yoshi bought 1-yard of licorice rope. Yoshi, Princess Peach, Luigi and Mario will equally shared the candy. Which expression is used to find the fractional part that Yoshi ate?

a)

4 X 1/4

b)

4 ÷ 1/4

c)

1/4 ÷ 4

d)

1 ÷ 4

28.

A villager, from Goose's town, made 3 apple pies for her family’s . She cut the pies into sixths. How many sixths can fit into 3 pies?

​ ​ (a)   can fit into 3 pies.

Choose from the below words
18 sixths
1/18 sixth
2 sixths
3 sixths
6 sixths
29.

Gloomy Bear poured 1/4-ounce of vinegar into each of 12 test tubes. How much vinegar did Gloomy Bear pour in all?

a)

3 ounces

b)

48 ounces

c)

1/48 ounce

d)

24 ounces

30.

Domo is making 15 cookies for a party. He made ⅗ of the cookies peanut butter flavor, and the rest of them were Chocolate Chips. How many of the cookies were Chocolate Chip?

a)

3 cookies

b)

6 cookies

c)

9 cookies

d)

12 cookies

31.

Match the following fraction with the reciprocal

a)

1/6

1.

6

b)

3/4

2.

4/3

c)

2/7

3.

7/2

d)

9/10

4.

10/9

e)

3/8

5.

8/3

32.

5/6 ÷\div  3/4 =

Divide the fractions. Simplify the answer.

a)

15/24

b)

20/18

c)

10/9

d)

18/24

33.

6/7 ÷\div  1/4

Divide the answer. Simplify the fraction.

a)

24/7

b)

6/28

c)

3/14

d)

7/24

34.

8/3 ÷\div  5/4

Divide the answer. Simplify the fraction.

a)

15/32

b)

32/15

c)

3/14

d)

7/24

35.

Divide the following fractions.

634÷456\frac{3}{4}\div\frac{4}{5}  

4 lines
36.

Divide the following fractions.

78÷215\frac{7}{8}\div2\frac{1}{5}  

4 lines
37.

Match the following improper fractions to mixed numbers.

a)

15/3

1.

5

b)

7/2

2.

3 1/2

c)

14/3

3.

4 2/3

d)

25/6

4.

4 1/6

e)

45/10

5.

4 5/10

38.

How well do you understand converting from a mixed number to an improper fraction?

a)

Not good at all

b)

Getting better

c)

Good

d)

Great

39.

How well do you understand converting from an improper fraction to a mixed number?

a)

Not good at all

b)

Getting better

c)

Good

d)

Great

40.

How well can you multiply fractions?

a)

Not good at all

b)

Getting better

c)

Good

d)

Great

41.

How well can you divide fractions?

a)

Not good at all

b)

Getting better

c)

Good

d)

Great

42.

How well can you divide mixed numbers fractions?

a)

Not good at all

b)

Getting better

c)

Good

d)

Great

43.
4× 1012 =
a)
4050
b)
13
c)
5048
d)
23
44.
41× 32=
a)
1212
b)
332
c)
13
d)
16
45.
3÷ 1=
a)
32
b)
68
c)
38
d)
12
46.
2÷ 2=
a)
410
b)
25
c)
1
d)
5
47.
51÷ 4=
a)
678
b)
10
c)
4410
d)
114
48.
3÷ 412 =
a)
278
b)
366
c)
16
d)
6
49.
6 ÷ ⅓ =
a)
½
b)
18
c)
2
d)
9
50.
Jada was allowed to spend 3/4 of her allowance at the mall.  Of that money, she spent 1/2 of it on a purse.  What part of her allowance did she spend on a purse?
a)
3/8 
b)
6/4
c)
1/2
d)
3/2
51.
The seats at the chorus concert were 5/6 full, and 3/4 of the seats were students.  What part of the seats were filled with students?
a)
10/9
b)
9/10
c)
5/8
d)
8/10
52.
What does this model represent?
a)
3/2  x 1/3  = 1/6
b)
2/3  x  1/2  = 1/6
c)
1/2  x 1/3  = 4/6
d)
1/3  x 1/2 = 1/6
53.
    10 ÷ ⅓ =    ?
This means ______________ .
a)
How many thirds are in ten?
b)
How many tens are in 1/3?
c)
1/3 divided into ten parts
d)
Ten divided into three groups.
54.
A recipe calls for ¾ cup of sugar.  How many batches can be made from a 5 pound bag of sugar?
a)
6 ⅔ batches
b)
3 ¾ batches
c)
3/20 batches
d)
6 ½ batches
55.
Lauren has ⅔ pound of bird seed.  Each day she feeds the robins ⅙ pound of seeds.  For how many days can she feed the robins?
a)
2 days
b)
3 days
c)
4 days
d)
6 days
56.
Bailey has ⅚ yard of ribbon to make bows.  If she is able to make 6 bows, what is the length of ribbon needed to make each bow?
a)
5 yds.
b)
1 ⅕ yds. 
c)
5/36 yd.
d)
⅙ yd.
57.
1 ¼ × 2 ¾ =
a)
3 7/16
b)
1/2
c)
3/16
d)
4 1/4
58.
Multiply these fractions
a)
1 1/3 
b)
1 6/18
c)
24 / 18
d)
12 / 9
59.
Divide these fractions
a)
24/9
b)
9/24
c)
27/2
d)
13 1/2
60.
Patty wants to run 5/6 of a mile every day for 5 days. John wants to run 3/4 of a mile every day for 6 days. Who will run the greater distance?
a)
Patty 
b)
John
61.
A glass can hold 3 1/3  cups of water. A bowl can hold 2 3/5 times that amount in the glass. How many cups can a bowl hold? 
a)
8 2/3
b)
8
c)
2/3
62.
You have 30 subs.  Each person can eat 1/3 of the sub.  How many people can eat?
a)
1
b)
10
c)
27
d)
90
63.
1× 3 ⁄4 =
a)
38
b)
34
c)
12
d)
14
64.
3× 2=
a)
510
b)
65
c)
625
d)
15
65.
4× 1012 =
a)
4050
b)
13
c)
5048
d)
23
66.

23 × 38 =

a)

68

b)

916

c)

624

d)

621

67.
41× 32=
a)
1212
b)
332
c)
13
d)
16
68.
3÷ 1=
a)
32
b)
68
c)
38
d)
12
69.
2÷ 2=
a)
410
b)
25
c)
1
d)
5
70.
3÷ 2=
a)
635
b)
1514
c)
1415
d)
17
71.
51÷ 4=
a)
678
b)
10
c)
4410
d)
114
72.
3÷ 412 =
a)
278
b)
366
c)
16
d)
6
73.

Jackson’s mother buys 4 packs of hamburger meat. Each pack contains 4/6 of a pound of meat. How much total meat did she buy?

a)

Multiply

b)

Divide

74.

Jackson’s mother buys 4 packs of hamburger meat. Each pack contains 4/6 of a pound of meat. How much total meat did she buy?

a)

4×464\times\frac{4}{6}

b)

4÷464\div\frac{4}{6}

c)

46  ÷ 4\frac{4}{6\ }\ \div\ 4

75.

Mr. Simpson feeds his dog ½ of a cup of dog food each day. How long will 4 cups of dog food last?

a)

Multiply

b)

Divide

76.

Mr. Simpson feeds his dog ½ of a cup of dog food each day. How long will 4 cups of dog food last?

a)

12 × 4\frac{1}{2}\ \times\ 4

b)

12 ÷ 4\frac{1}{2}\ \div\ 4

c)

4 ÷ 124\ \div\ \frac{1}{2}

77.

A chef has ½ of a pound of flour to divide equally into two containers. How much flour will be in each container?

a)

Multiply

b)

Divide

78.

A chef has ½ of a pound of flour to divide equally into two containers. How much flour will be in each container?

a)

12×2\frac{1}{2}\times2

b)

12÷2\frac{1}{2}\div2

c)

2÷122\div\frac{1}{2}

79.

Anu has 9 problems to solve for his math homework. He has solved 2/3 of the problems already. How many of his problems has he solved?

a)

23×9\frac{2}{3}\times9

b)

9÷239\div\frac{2}{3}

c)

23÷9\frac{2}{3}\div9

80.

Tyreick wants to fill six containers with ¾ of a cup of lemonade. How much lemonade will he need to fill the six containers?

a)

Multiply

b)

Divide

81.

Tyreick wants to fill six containers with ¾ of a cup of lemonade. How much lemonade will he need to fill the six containers?

a)

6×346\times\frac{3}{4}

b)

6÷346\div\frac{3}{4}

c)

34÷6\frac{3}{4}\div6

82.

A fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of ¼ of a pound of fudge each. How many packages does he make?

a)

4×144\times\frac{1}{4}

b)

4 ÷ 144\ \div\ \frac{1}{4}

c)

14÷4\frac{1}{4}\div4

83.

After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza does she eat?

a)

12×13\frac{1}{2}\times\frac{1}{3}

b)

13÷12\frac{1}{3}\div\frac{1}{2}

c)

12÷13\frac{1}{2}\div\frac{1}{3}

84.
⅚ x 4
a)
4
b)
5/24
c)
3  2/6
d)
4  2/6
85.
6/7 ÷ 3 =
Reduce to simplest form.
a)
18/7
b)
2/7
c)
2 4/7
d)
6/21
86.

74×116\frac{7}{4}\times\frac{11}{6}  

a)

8465\frac{84}{65}  

b)

7724\frac{77}{24}  

c)

5947\frac{59}{47}  

d)

6547\frac{65}{47}  

87.

Question 1


12×34\frac{1}{2}\times\frac{3}{4}  

a)

38\frac{3}{8}  

b)

34\frac{3}{4}  

c)

14\frac{1}{4}  

d)

12\frac{1}{2}  

88.

Question 1


12×34\frac{1}{2}\times\frac{3}{4}  

a)

38\frac{3}{8}  

b)

34\frac{3}{4}  

c)

14\frac{1}{4}  

d)

12\frac{1}{2}  

89.

Question 2


35×25\frac{3}{5}\times\frac{2}{5}  

a)

12\frac{1}{2}  

b)

625\frac{6}{25}  

c)

1 151\ \frac{1}{5}  

d)

11  

90.

Question 3


45×56\frac{4}{5}\times\frac{5}{6}  

a)

45\frac{4}{5}  

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

1 1301\ \frac{1}{30}  

91.

Question 4


23×38\frac{2}{3}\times\frac{3}{8}  

a)

34\frac{3}{4}  

b)

14\frac{1}{4}  

c)

916\frac{9}{16}  

d)

27\frac{2}{7}  

92.

Question 5


4 12×3 234\ \frac{1}{2}\times3\ \frac{2}{3}  

a)

12 1312\ \frac{1}{3}  

b)

13\frac{1}{3}  

c)

332\frac{33}{2}  

d)

1616  

93.

Question 6


34÷12\frac{3}{4}\div\frac{1}{2}  

a)

64\frac{6}{4}  

b)

1 121\ \frac{1}{2}  

c)

38\frac{3}{8}  

d)

23\frac{2}{3}  

94.

Question 7


25÷25\frac{2}{5}\div\frac{2}{5}  

a)

425\frac{4}{25}  

b)

55  

c)

11  

d)

25\frac{2}{5}  

95.

Question 8


37÷25\frac{3}{7}\div\frac{2}{5}  

a)

635\frac{6}{35}  

b)

1415\frac{14}{15}  

c)

1 1141\ \frac{1}{14}  

d)

17\frac{1}{7}  

96.

Question 9


5 12÷455\ \frac{1}{2}\div\frac{4}{5}  

a)

6 786\ \frac{7}{8}  

b)

4 254\ \frac{2}{5}  

c)

1010  

d)

2 342\ \frac{3}{4}  

97.

Question 10


34÷4 12\frac{3}{4}\div4\ \frac{1}{2}  

a)

3 383\ \frac{3}{8}  

b)

16\frac{1}{6}  

c)

66  

d)

4 384\ \frac{3}{8}  

98.

74×116\frac{7}{4}\times\frac{11}{6}  

a)

8465\frac{84}{65}  

b)

7724\frac{77}{24}  

c)

5947\frac{59}{47}  

d)

6547\frac{65}{47}  

99.

207×175\frac{20}{7}\times\frac{17}{5}  

a)

34035\frac{340}{35}  

b)

8452\frac{84}{52}  

c)

8464\frac{84}{64}  

d)

4162\frac{41}{62}  

100.

13×37\frac{1}{3}\times\frac{3}{7}  

a)

5474\frac{54}{74}  

b)

321\frac{3}{21}  

c)

3214\frac{32}{14}  

d)

1451\frac{14}{51}  

101.

45×1312\frac{4}{5}\times\frac{13}{12}  

a)

5260\frac{52}{60}  

b)

8462\frac{84}{62}  

c)

9547\frac{95}{47}  

d)

1215\frac{12}{15}  

102.

14×52\frac{1}{4}\times\frac{5}{2}  

a)

67\frac{6}{7}  

b)

58\frac{5}{8}  

c)

98\frac{9}{8}  

d)

54\frac{5}{4}  

103.

214×16\frac{21}{4}\times\frac{1}{6}  

a)

5214\frac{52}{14}  

b)

2124\frac{21}{24}  

c)

2147\frac{21}{47}  

d)

3215\frac{32}{15}  

104.

223÷12\frac{22}{3}\div\frac{1}{2}  

a)

2345\frac{23}{45}  

b)

59621\frac{596}{21}  

c)

443\frac{44}{3}  

d)

5841\frac{58}{41}  

105.

45÷79\frac{4}{5}\div\frac{7}{9}  

a)

3245\frac{32}{45}  

b)

5136\frac{51}{36}  

c)

3635\frac{36}{35}  

d)

5414\frac{54}{14}  

106.

43÷57\frac{4}{3}\div\frac{5}{7}  

a)

9541\frac{95}{41}  

b)

6241\frac{62}{41}  

c)

6214\frac{62}{14}  

d)

2815\frac{28}{15}  

107.

35÷1822\frac{3}{5}\div\frac{18}{22}  

a)

6210\frac{62}{10}  

b)

6245\frac{62}{45}  

c)

6690\frac{66}{90}  

d)

69245\frac{692}{45}  

108.

Question 1


12×34\frac{1}{2}\times\frac{3}{4}  

a)

38\frac{3}{8}  

b)

34\frac{3}{4}  

c)

14\frac{1}{4}  

d)

12\frac{1}{2}  

109.

Question 2


35×25\frac{3}{5}\times\frac{2}{5}  

a)

12\frac{1}{2}  

b)

625\frac{6}{25}  

c)

1 151\ \frac{1}{5}  

d)

11  

110.

Question 3


45×56\frac{4}{5}\times\frac{5}{6}  

a)

45\frac{4}{5}  

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

1 1301\ \frac{1}{30}  

111.

Question 4


23×38\frac{2}{3}\times\frac{3}{8}  

a)

34\frac{3}{4}  

b)

14\frac{1}{4}  

c)

916\frac{9}{16}  

d)

27\frac{2}{7}  

112.

Question 5


4 12×3 234\ \frac{1}{2}\times3\ \frac{2}{3}  

a)

12 1312\ \frac{1}{3}  

b)

13\frac{1}{3}  

c)

332\frac{33}{2}  

d)

1616  

113.

Question 6


34÷12\frac{3}{4}\div\frac{1}{2}  

a)

64\frac{6}{4}  

b)

1 121\ \frac{1}{2}  

c)

38\frac{3}{8}  

d)

23\frac{2}{3}  

114.

Question 7


25÷25\frac{2}{5}\div\frac{2}{5}  

a)

425\frac{4}{25}  

b)

55  

c)

11  

d)

25\frac{2}{5}  

115.

Question 8


37÷25\frac{3}{7}\div\frac{2}{5}  

a)

635\frac{6}{35}  

b)

1415\frac{14}{15}  

c)

1 1141\ \frac{1}{14}  

d)

17\frac{1}{7}  

116.

Question 9


5 12÷455\ \frac{1}{2}\div\frac{4}{5}  

a)

6 786\ \frac{7}{8}  

b)

4 254\ \frac{2}{5}  

c)

1010  

d)

2 342\ \frac{3}{4}  

117.

Question 10


34÷4 12\frac{3}{4}\div4\ \frac{1}{2}  

a)

3 383\ \frac{3}{8}  

b)

16\frac{1}{6}  

c)

66  

d)

4 384\ \frac{3}{8}  

118.
Multiply and simplify if possible.
a)
b)
¼
c)
2 ⅓
d)
119.
Multiply and simplify if possible.
a)
1
b)
⁶ / ₁ ₃
c)
2 ⅓
d)
2 ⅙
120.
Multiply and simplify if possible.
a)
- ¹ / ₉
b)
¹ / ₉
c)
- 9
d)
9
121.
Multiply and simplify if possible.
a)
- ¹ / ₁ ₈
b)
¹ / ₁ ₈
c)
- ⁴ / ₉
d)
3 ⁵ / ₇
122.
Multiply and simplify if possible.
a)
23 ⅓
b)
- 23 ⅓
c)
d)
- ⅔
123.
Divide and simplify if possible.
a)
¹ / ₂ ₄ 
b)
c)
d)
² / ₁ ₁
124.
Divide and simplify if possible.
a)
1 ½
b)
c)
d)
- ⅔
125.
Divide and simplify if possible.
a)
- 1 ⅙
b)
1 ⅙
c)
- ⁶/₇
d)
⁶/₇
126.
Divide and simplify if  possible.
a)
7 ⅘
b)
- 7 ⅘
c)
⁵ /₃ ₉
d)
- ⁵ / ₃ ₉
127.
Divide and simplify if possible.
a)
2  ⁷ / ₁ ₅ 
b)
- 2 ⁷ / ₁ ₅ 
c)
¹ ⁵ / ₃ ₇
d)
- ¹ ⁵ / ₃ ₇
128.
What operation do you use to solve this problem?
a)
Multiplication
b)
Division
129.
What operation do you use to solve the problem?
a)
Multiplication
b)
Division
130.
What operation do you use to solve this problem?
a)
Multiplication
b)
Division
131.
Solve using Multiplication
a)
60 in.
b)
2 in.
c)
2 ⅖ in.
d)
¹ / ₆ ₀  in.
132.
Solve using Division.
a)
9
b)
11
c)
13
d)
15