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Worksheets

Fractions Operations

Total questions: 108

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
a)
2/12
b)
2/24
c)
1/12
d)
1/6
2.
a)
3/11
b)
21/38
c)
19/24
d)
3/16
3.
a)
1/3
b)
3
c)
3/9
d)
3/18
4.
a)
-4/3
b)
13/18
c)
4/3
d)
2/9
5.
a)
-3/5
b)
-8/14
c)
-1/12
d)
-7/24
6.
a)
1/4
b)
9/16
c)
5/11
d)
6/24
7.
a)
6  3/20
b)
5  4/9
c)
6  4/15
d)
8  1/4
8.
a)
5/14
b)
2  1/3
c)
-1  1/3
d)
2  1/2
9.
Multiply these fractions. Simplify! 
4/9 x 6/2
a)
4/ 3
b)
2 / 7
c)
24 / 18
d)
2 / 1.6
10.
What is the product of these fractions in lowest terms?
a)
20/50
b)
10/25
c)
2/5
d)
9/15
11.
a)
1  4/6
b)
7  2/6
c)
2/3
d)
4
12.
a)
1  4/6
b)
7  2/6
c)
2/3
d)
4
13.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
14.
5   1/2 +  4  3/8  
a)
9  7/15
b)
8  7/16
c)
10  7/8
d)
9  7/8
15.
7  5/8 + 4  4/8 =
a)
12  5/8
b)
11  3/8
c)
11  1/8
d)
12  1/8
16.
Find the value of 
1½ x 3½.  Simplify.
a)
2/15
b)
3 1/4
c)
5 1/4
d)
3/4
17.
Solve:  6 x 3  1/2
a)
15
b)
5  3/4
c)
21
d)
12
18.
Stephanie drew 12 pictures. She drew ⅔ of them in art class. How many pictures did she draw in art class?
a)
8 pictures
b)
4 pictures
c)
6 pictures
d)
9 pictures
19.

Kayla has 3/9 of a pizza and Lille gave her 2/9 of a pizza. How much pizza does Kayla have now?

a)

5

b)

5/9

c)

1/9

d)

6/9

20.
Brad ate 3/4 of his Kit-Kat bar and gave the rest to Doug.  How much of the Kit-Kat bar did Doug get to eat?
a)
3/4
b)
1/4
c)
2/4
d)
None
21.
Answer in simplest form.
5/9 - 3/9
a)
2/9
b)
6/9
c)
3/9
d)
2/3
22.
select one way to make 4/5
a)
1/5 + 1/5 + 1/5
b)
1/5 + 1/5 + 1/5 + 2/5
c)
2/5 + 2/5
d)
1/5 + 1/5 + 3/5
23.
Multiply these fractions and answer as a mixed number.
a)
15 10 / 15
b)
16 15 / 10
c)
15 2 / 3
d)
16 2 / 3
24.
Divide these fractions
a)
8 / 9
b)
2 / 1
c)
6 / 6
d)
.333 / .75
25.

Multiply these fractions

a)

2 / 18

b)

2 / 7

c)

4/3

d)

2 / 1.6

26.

Convert the mixed number to an improper fraction: 6 57\frac{5}{7}  

a)

 477\frac{47}{7}  

b)

 427\frac{42}{7}  

c)

 476\frac{47}{6}  

d)

 177\frac{17}{7}  

27.

Which fraction is NOT in its simplest form?

a)


16\frac{1}{6}

b)

523\frac{5}{23}

c)

1017\frac{10}{17}

d)

4592\frac{45}{92}

28.
Jordan made 1 2/3 qt of soup.  More friends are coming to her party, so she needs to triple her recipe.  How much total soup will she need?
a)
5
b)
1/5
c)
1 2/4
d)
3 2/3
29.
Jenna had 1/6 of cake leftover.  She wanted to share it among her 3 friends.  How much cake would each friend get?
a)
18
b)
1/18
c)
9
d)
3/6
30.
Jeremy bought 4 cups of soda.  He let his sister drink 1 3/4 of it.  How much soda does he have left?
a)
1
b)
3 3/4
c)
d)
2 1/4
31.
Putnam High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 1/2 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?
a)
1
b)
2/4
c)
1/4
d)
1 1/4
32.

Find the Difference 10 7/8 - 3 5/6

a)

6 23/24

b)

7 1/24

c)

7 4/24

d)

7 6/24

33.

Kerri runs a half marathon in 6 1/4 hours. Deon runs the same race in 4/5 the amount of time. How long does it take Deon to run the half marathon

a)

3 2/9 hours

b)

5 hours

c)

5 1/4 hours

d)

6 3/5 hours

34.

A rug measures 2 1/3 yards by 1 1/4 yards. What is the area of the rug?

a)

1 1/6 sq yards

b)

2 1/6 sq yards

c)

2 11/12 sq yards

d)

3 1/7 square yards

35.

Six friends equally share 4 cases of bottled water. Which of the following does NOT represent the part of the 4 cases that each friend receives.

a)

1/6 of 4

b)

1/4 of 6

c)

4 divided by 6

d)

4/6

36.

A gardener has 8 pounds of cherry tomatoes. She shares them equally with 3 neighbors. How many pounds of tomatoes does each neighbor receive?

a)

2 1/4 pounds

b)

2 1/3 pounds

c)

2 2/3 pounds

d)

2 7/8 pounds

37.

Mario has 7/8 pound of sesame seeds. He uses 2/3 of the same seeds to make a dip. What quantity of sesame seeds is left?

a)

5/24 pound

b)

3/8 pound

c)

1/2 pound

d)

7/12 pound

38.

A broom closet measures 2 1/2 feet by 3 2/3 feet. How many square feet of tile are needed to cover the floor of the broom closet?

a)

6 1/3 sq feet

b)

6 1/2 sq feet

c)

9 sq feet

d)

9 1/6 sq feet

39.

Alisha kept track of the growth of a plant. At the beginning of one week, her plant was 1 7/8 inches tall. The next week, the plant was 2 3/4 inches tall. How many inches did Alisha’s plant grow over the week?

a)

1/2

b)

7/8

c)

1 1/2

d)

4 5/8

40.
Which fraction is equivalent to 6/9?
a)
24/32
b)
18/36
c)
30/40
d)
36/54
41.
Solve the following expression: 
1/8 ÷ 8/1 = 
a)
1/64
b)
1/10
c)
1/99
d)
1/18
42.
Solve.  2/3 + 7/12
a)
3/5
b)
9/15
c)
15/12
d)
5/12
43.

 2 342\ \frac{3}{4}  + 56\frac{5}{6}  



a)

 3 7123\ \frac{7}{12}  

b)

 3 10123\ \frac{10}{12}  

c)

 3 8243\ \frac{8}{24}  

44.
Brooke had 3/5 of an apple pie and her mom had 2/7 of an apple pie.  How much apple pie do they have altogether?
a)
35/35
b)
5/12
c)
31/35
d)
1  2/35
45.

7/8 - 7/12

a)

7/24

b)

1/4

c)

7/12

d)

4/24

46.

Each batch of cookies calls for 1/8 cup of brown sugar. Teddy has 3/4 cup of brown sugar. How many batches of cookies could she make?

a)

8

b)

6

c)

4

d)

2

47.
a)

5/14

b)

6/14

c)

7/17

d)

8/14

48.
Multiply 2/6 x 3/5
a)
1/5
b)
1 / 1
c)
1 / 6
d)
0
49.

 2 34÷1 12=2\ \frac{3}{4}\div1\ \frac{1}{2}=  

a)

 338\frac{33}{8}  

b)

 2212\frac{22}{12}  

c)

 833\frac{8}{33}  

d)

 1222\frac{12}{22}  

50.
If Harry ate ⅓ of a pizza and Marlene ate ⅖ of the pizza, how much of the pizza is left over?
a)
b)
c)
4/15
d)
11/15
51.
Marty made two types of cookies.  He used 2/3 cup of sugar for one recipe and 1/4 cup  of sugar for the other.  How much sugar did he use in all? 
a)
5/12
b)
3/7
c)
11/12
d)
1/3
52.
While making desserts for a bake sale, Lyla used 7/10 of a scoop of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Lyla use?
a)
1 1/2
b)
2/3
c)
1/5 
d)
3/4
53.
Pam walks 7/8 of a mile to school.  Paul walks 1/2 of a mile to school.  How much farther does Pam walk than Paul? 
a)
3/8
b)
4/5
c)
1 3/8
d)
3/4
54.
While cooking a stew, Bonnie used 5/6 of a shaker of salt and 5/12 of a shaker of pepper. How much more salt did Bonnie use?
a)
5/9
b)
5/12
c)
1  1/4
d)
11/12
55.
Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?
a)
4/8
b)
5/8
c)
3/4
d)
7/8
56.

Kathy likes blue marbles. She notices that 2/5 of each bag of marbles she buys are blue. She has 10 bags of marbles at home. How many separate bags of only blue marbles can she make?

a)

2 bags

b)

3 bags

c)

4 bags

d)

5 bags

57.
What is the reciprocal of 9?
a)
90
b)
9/1
c)
1/9
d)
9
58.
Use the model to find the product (answer). 
a)
2/3
b)
1/9
c)
1/6
d)
1/3
59.
Which represents the model?
a)
1/3 x 2/3 
b)
1/3 x 1/7
c)
1/3 x 1/2
d)
1/3 x 6/7
60.
John is making bows to put on wreaths.  Each bow used 2 and 1/3 yards of ribbon.  John has 15 yards of ribbon.  How many WHOLE BOWS can he make?
a)
6
b)
7
c)
12
d)
35
61.
What is the sum of these fractions in lowest terms?
a)
5/12
b)
5/24
c)
6/12
d)
6/144
62.
What is the difference of these fractions in lowest terms?
a)
5/5
b)
4/1
c)
3/0
d)
3/5
63.
What is the difference of these fractions in lowest terms?
a)
7/9
b)
1/5
c)
12/20
d)
1/20
64.
Which mixed number is represented by the model?
a)
3  1/4
b)
3 4/1
c)
3  3/4
d)
4  1/4
65.
Convert the mixed fraction to a improper fraction.
a)
22 /9
b)
20/9
c)
31 / 9
d)
4/6
66.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
67.
a)
11/4
b)
16/4
c)
19/4
d)
16/3
68.
Simplify the following fraction
8/24
a)
1/4
b)
2/5
c)
1/6
d)
1/3
69.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
70.
36 divided by 3/4
a)
36
b)
10
c)
48
d)
13 1/3
71.
8/9 divided by 4/3
a)
1/2
b)
2/3
c)
1/16
d)
9/7
72.
7/4 divided by 14/8
a)
9/15
b)
7/8
c)
4/14
d)
1
73.
a)
6  3/20
b)
5  4/9
c)
6  4/15
d)
8  1/4
74.
Complete the equivalent fraction.
a)
6
b)
9
c)
15
d)
23
75.
A construction company is digging a pit to build the foundation of a house. At the end of the first day, the company had hauled away 1/6 of a truckload of dirt. On the second day, they hauled away 2/6 of a truckload. How many truckloads did they haul away in all?
a)
1/4 truckload
b)
1/2 truckload
c)
3/4 truckload
d)
1/3 truckload
76.
Carefully following a recipe, Carly used exactly 2/4 of a cup of oil and 3/8 of a cup of water. How many cups of liquid did Carly use in all?
a)
2/3 cup of oil
b)
7/8 cup of oil
c)
1/4 cup of oil
d)
1/8 cup of oil
77.
During lunch, Julio drinks 2  3/4 cups of milk.  Alan drinks 3/8 cups of milk.  Fernando drinks 1  1/6 cups of milk.  How much milk do the 3 gentleman drink? 
a)
4  7/24 cups
b)
3  7/32 cups
c)
4  7/32 cups 
d)
3  7/24 cups
78.
Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?
a)
4/8
b)
5/8
c)
3/4
d)
7/8
79.

Is this a correct answer?

a)

Yes, the student correctly added.

b)

No, you cannot add unlike denominators

c)

No, 5 + 7 is not 12

d)

No, 2 + 3 is not 5

80.
Boris ordered a pizza.  For lunch he ate 5/8 of the pizza and for dinner he ate 1/8 of the pizza.  How much pizza does he have left?
a)
2/8
b)
4/8
c)
6/8
d)
1/8
81.
What number sentence does this fraction show?
a)
¾ x 3 = 9/4
b)
¼ x 3 = ¾
c)
¼ + 3 = 3¼
d)
¾ + 3 = 3¾
82.
What number makes this equation true?
2 x ⅚ = ? x ⅙
a)
10
b)
2
c)
5
d)
6
83.
We ordered 12 sandwiches for dinner.  ⅔ of the sandwiches were ham.  How many were ham?
a)
12
b)
2
c)
4
d)
8
84.
The cats at the cat party are sharing a cake.  If each of the 7 cats each ate 1/12 of the cake, how many pieces of cake did they eat altogether?
a)
1
b)
12
c)
7
d)
1/12
85.

Multiply these factions

a)

6/30

b)

1 / 1

c)

5 / 30

d)

0

86.

Yesterday Jackie ran 5 145\ \frac{1}{4} miles, and Yao ran 3 9103\ \frac{9}{10} miles. How much farther did Jackie run?

a)

1 131\ \frac{1}{3}

b)

1 7201\ \frac{7}{20}

c)

2 7202\ \frac{7}{20}

d)

2 13202\ \frac{13}{20}

87.

What is 78\frac{7}{8}  \cdot   23\frac{2}{3}  ? 


a)

 23\frac{2}{3}  

b)

 924\frac{9}{24}  

c)

 712\frac{7}{12}  

d)

 1 5161\ \frac{5}{16}  

88.

Meg has  8 238\ \frac{2}{3} foot-long piece of ribbon.  She is cutting it into pieces to make bows.  She needs  1121\frac{1}{2} feet of ribbon to make 1 bow.  How many bows can she make? 

a)

5

b)

6

c)

10

d)

13

89.

Jade was driving from her home to her grandparents' house, a distance of 5 145\ \frac{1}{4} miles.  She had driven 23\frac{2}{3} of the distance when her car broke down.  How many miles had she driven before the car broke down? 

a)

 1341\frac{3}{4}  

b)

 3123\frac{1}{2}  

c)

 5145\frac{1}{4}  

d)

 5911005\frac{91}{100}  

90.

What is three-fourths times two-thirds?

a)

512\frac{5}{12}

b)

12\frac{1}{2}

c)

57\frac{5}{7}

d)

67\frac{6}{7}

91.

You spend $50 on groceries.   13\frac{1}{3} of the amount was spent on fruit.  How much money did you spend on fruit? 

a)

$11

b)

$16.67

c)

$20.33

d)

$30

92.

 You have 12 of a candy bar.  I take 15 of it.  You\ have\ \frac{1}{2}\ of\ a\ candy\ bar.\ \ I\ take\ \frac{1}{5}\ of\ it.\ \  How much of your candy bar do I have?

a)

 52\frac{5}{2}  

b)

 110\frac{1}{10}  

c)

 2122\frac{1}{2}  

d)

 17\frac{1}{7}  

93.

 23 ×164 ×14\frac{2}{3}\ \times\frac{16}{4}\ \times\frac{1}{4}  

a)

 13\frac{1}{3}  

b)

 14\frac{1}{4}  

c)

 23\frac{2}{3}  

d)

 24\frac{2}{4}  

94.

 59÷1527\frac{5}{9}\div\frac{15}{27}  

a)

 11  

b)

 22  

c)

 33  

d)

 44  

95.
Evaluate the expression. Write the answer in simplest form. 
4/5 + 2/5 ÷ 4
a)
2/5
b)
6/5
c)
9/10
d)
2
96.
Evaluate the expression. Write the answer in simplest form. 
8/9 ÷ 2 ÷ 8
a)
1/18
b)
8/18
c)
2  1/18
d)
6
97.

Calculate: (1/2 +1/3) - (1/2 -1/3)

a)

3/10

b)

2/3

c)

7/15

d)

3/8

98.
Solve:
(32 ÷ 8) + 27 - 11
a)
10
b)
20
c)
30
99.
4 + 2 x 7
a)
42
b)
14
c)
18
d)
56
100.
20 - 5 x 2
a)
30
b)
10
c)
50
101.

Tomas and Hector are running at P.E. Tomas runs 3/4 of a mile. Hector runs 3 times as far as Tomas. How far did Hector run?

a)

94\frac{9}{4}

b)

64\frac{6}{4}

c)

912\frac{9}{12}

d)

124\frac{12}{4}

102.

Yesterday, Megan's Snack Shack went through 2/5 of a bottle of ketchup. If they used 3 times as much mustard as ketchup, how many bottles of mustard did they go through?

a)


615\frac{6}{15}

b)

75\frac{7}{5}

c)

65\frac{6}{5}

d)

515\frac{5}{15}

103.

Joe's mom ordered 12 pizzas for a party. 1/4 of the pizzas were pepperoni pizzas, how many pepperoni pizzas were there?

a)

4

b)

3

c)

9

d)

8

104.

Joe's mom ordered 12 pizzas for a party. 1/4 of the pizzas were pepperoni pizzas, how many pepperoni pizzas were there?

a)

4

b)

3

c)

9

d)

8

105.

Bruce filled a bucket with 8 2/3 gallons of water. Later, he poured out 3 gallons of the water. How much water is left in the bucket?

a)

6 136\ \frac{1}{3}

b)

8

c)

11 2311\ \frac{2}{3}

d)

5 235\ \frac{2}{3}

106.

Michelle was making bracelets from ribbon. She wanted to make 4 bracelets and each bracelet needed 2/3 yards of ribbon. How much ribbon does Michelle need?

a)

63\frac{6}{3}

b)


2 232\ \frac{2}{3}

c)

4 234\ \frac{2}{3}

d)

812\frac{8}{12}

107.

In the morning, Jennifer drove to the store and used 2/4 of a gallon of gas. In the afternoon, she drove to the movie theater and used 3/4 of a gallon of gas. How much gas did Jennifer use in all?

a)

1 141\ \frac{1}{4}

b)

84\frac{8}{4}

c)

2 142\ \frac{1}{4}

d)

58\frac{5}{8}

108.

A meteorologist found that the rainfall in Livingston during the first half of the month was 1 1/3 inches. At the end of the month, he found that the total rainfall for the month was 4 inches. How much did it rain in the second half of the month?

a)


5 135\ \frac{1}{3}

b)

2 232\ \frac{2}{3}

c)

3 233\ \frac{2}{3}

d)

2 132\ \frac{1}{3}