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Worksheets

Adding and Subtracting Fractions

Total questions: 124

Worksheet time: 6hrs 15mins

Name
Class
Date
1.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
2.
a)
3/10
b)
3/5
c)
3/25
d)
15/5
3.
Kayden has 3/9 of a pizza and Laila gave her 2/9 of a pizza.  How much pizza does Kayden have now?
a)
5 Pizzas
b)
5/9 of a pizza
c)
1/9 of a pizza
d)
1 pizza
4.
Brad ate 3/4 of his Kit-Kat bar and gave the rest to Cole.  How much of the Kit-Kat bar did Cole get to eat?
a)
3/4
b)
1/4
c)
2/4
d)
None
5.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
c)
fractionator
d)
equivalent
6.
A pizza has 5 pieces. Sara eats 3 of the pieces. What fraction of the pizza did Sara eat?
a)
3/5
b)
2/5
c)
5/5
d)
1/5
7.
What is the sum in simplest form?
2/7 + 4/7
a)
6/14
b)
1/2
c)
2/3
d)
6/7
8.
Simplify  18/24  to lowest terms.
a)
4/3
b)
9/12
c)
3/4
d)
1/2
9.
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
10.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
11.
Convert the mixed fraction to a improper fraction.
a)
22 /9
b)
20/9
c)
31 / 9
d)
4/6
12.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
13.
6  1/4  -  2  3/4 
a)
3   1/2
b)
3  3/4
c)
4  1/2
d)
4   1/4
14.
10  3/4
-7  1/4
________
a)
3  1/4
b)
4  1/2
c)
3  1/2
d)
18
15.

What is the numerator of the following fraction and what does it tell me? 37\frac{3}{7}

a)

3

b)

7

c)

How many pieces make 1 whole

d)

How many pieces I have

16.

What is the denominator of the following fraction and what does it tell me? 48\frac{4}{8}

a)

4

b)

8

c)

How many pieces make 1 whole

d)

How many pieces I have

17.

What are the steps for making two unlike denominators like?

a)

Look at the denominators

b)

Find the LCM or use the butterfly method

c)

Convert (change) the fractions based on the OPPOSITE denominator to find the Common Denominator

d)

Multiply the numerators by the same opposite denominator

e)

Rewrite your now completed converted fractions

1)
2)
3)
4)
5)
18.

Which of the following fractions are simplified?

a)

23\frac{2}{3}

b)

36\frac{3}{6}

c)

99\frac{9}{9}

d)

714\frac{7}{14}

19.

When solving for LIKE denominator fractions, what are the steps?

a)

Line up your fractions (top to bottom)

b)

Line up your whole numbers (if any) with the fractions they were with

c)

Bring the denominator straight down

d)

Solve for your numerators and regroup if needed

e)

Solve your whole numbers with any possible regroupings.

1)
2)
3)
4)
5)
20.

True or false: You CAN just add fractions with UNLIKE denominators

a)

True

b)

False

21.

36+446\frac{3}{6}+4\frac{4}{6}

What is the answer to this problem?

22.

What is the answer to 613536\frac{1}{3}-\frac{5}{3} ?

23.

What is the numerator of the following fraction and what does it tell me? 68\frac{6}{8}

a)

6

b)

8

c)

How many pieces make 1 whole

d)

How many pieces I have

24.
3/9 + 4/9
a)
7/18
b)
7/9
c)
12/9
d)
12/81
25.
Add: 
4/15 + 5/15
a)
9/15
b)
10/15
c)
1/15
d)
I have no clue how to do this!
26.
Add:
8/10 + 1/10
a)
9/10
b)
7/10
c)
8/10
d)
4/10
27.
Solve.
a)
3/4
b)
3/8
c)
2/4
d)
3/16
28.
3/8 + 4/8
a)
1/8
b)
7/8
c)
4/8
d)
3/8
29.
3/10 + 7/10
a)
10/20
b)
4/10
c)
10/10 OR 1
d)
4/20
30.
2 3/8 + 1 1/8 =
a)
- 3 4/16
b)
-3 1/2
c)
3 1/2
d)
3 4/16
31.

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

32.

Isaiah had a pie cut into 12 pieces. He ate 5 pieces. How many were left?

a)

11/12

b)

7/12

c)

5/12

33.

John had a cake cut into 8 pieces. He ate the whole thing. What fraction did he eat?

a)

6/6

b)

8/8

c)

8/16

34.

What is 2/8 + 3/8 = ?

a)
b)
c)
35.
What is 3/4 + 1/4 = ?
a)
4/4 
b)
0/4
c)
2/4
d)
1/2
36.

What is the answer?

a)
b)
c)
d)
37.

7/7 - 5/7 = ?

a)
b)
c)
d)
38.

Kayla had 1/6 of the cake and Jim had 3/6 of the cake. How much cake did they take in total?

a)

6/6

b)

2/6

c)

1/2

d)

4/6

39.
8/12 - 3/12
a)
4/12
b)
1/2
c)
5/12
d)
11/12
40.
5/7 - 2/7
a)
3/7
b)
3/0
c)
1/2
d)
3/4
41.
9/10 - 7/10
a)
16/10
b)
2/10
c)
3/5
d)
1/10
42.
9/10 - 2/10
a)
11/10
b)
6/10
c)
7/20
d)
7/10
43.

16/20 + 2/20

a)

3/20

b)

1 and 1/10

c)

18/20

d)

14/20

44.

What is the sum of the following equation in simplest for?:

2/6 + 2/6 =

a)

5/6

b)

2/3

c)

3/6

d)

1/2

45.
What is the sum of the following equation in lowest terms:
1/3 + 1/3 =
a)
1
b)
1/3
c)
3/3
d)
2/3
46.
What is the difference in the following equation in its lowest terms:
9/12 - 5/12 =
a)
14/12
b)
1/3
c)
5/12
d)
2/3
47.

Anya is planting a garden with Sarah. Sarah wants to make the garden into 9 equal rows and plant corn in 3/9 or 1/3 of the garden. What fraction of the garden will be left for other vegetables?

a)

1

b)

6/9 or 2/3

c)

4/9

d)

5/9

48.
What is the difference in the following equation in its lowest terms:
4/5 - 2/5 =
a)
2/5
b)
1/5
c)
4/5
d)
3/5
49.
Kylee has 1 cup of chocolate chips. She adds 4/6 of the cup to her ice cream. How much of the cup of chocolate chips is left?
a)
3/6 or 1/2
b)
4/6 or 2/3
c)
2/6 or 1/3
d)
1/6
50.
Preston and Keegan are filling 8 cups with water for a science project. Preston fills 5 of the cups. What fraction is remaining for Keegan to fill?
a)
1/2
b)
5/8
c)
3/8
d)
1/4
51.

Connor ate 6/8 of one pizza. Kirsti ate 2/8 of another pizza. How much more of a pizza did Connor eat?

a)

3/8

b)

6/8 or 3/4

c)

4/8 or 1/2

d)

2/8 or 1/4

52.
Find the sum of the following equation in lowest terms:
10/24 + 6/24 =
a)
6/24 or 1/4
b)
8/24 or 1/3
c)
16/24 or 2/3
d)
14/24 or 7/12
53.

Find the difference of the fractions in the following equation:

15/18 - 3/18 =

a)

3/18 or 1/6

b)

12/18 or 2/3

c)

12/36 or 1/3

d)

18/18 or 1

54.

Kayla had 1/6 of the cake and Jim had 3/6 of the cake. How much cake did they take in total?

a)

6/6

b)

2/6

c)

1/2

d)

4/6

55.

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

56.
Mr. Smith buys 5/8 pound of red grapes and 2/8 pound green grapes. How many pounds did Mr. Smith buy?
a)
7/8 pound
b)
3/8 pound
57.

Mickie ate 1/5 of her candy bar on Monday. She ate 4/5 of her candy bar on Tuesday. How much more of the candy bar did she eat on Tuesday than Monday?

a)

5/5

b)

3/5

c)

1/5

58.
a)

5/14

b)

3/7

c)

5/7

d)

5/14

59.

a)

5/14

b)

3/7

c)

5/7

d)

5/14

60.

Jim ran 9/10 oif a mile. Katie ran 4/10 of a mile. How much farther did Jim run than Katie?

a)

13/10

b)

5/10

c)

1/10

d)

6/10

61.

Which of the following is NOT a unit fraction?

a)

1/2

b)

3/4

c)

1/9

d)

1/4

62.

Which of the following is a unit fraction?

a)

2/5

b)

5/8

c)

1/8

d)

7/10

63.
Decompose 5/12 into the sum of its unit fractions.
a)
1/5+1/5+1/5+1/5+1/5 = 5/12
b)
1/12+1/12+1/12+1/12+1/12 = 5/12
c)
1/5+1/12+1/5+1/12+1/5 = 5/12
d)
4/12+1/12 = 5/12
64.
A unit fraction has _____ as its numerator.
a)
1
b)
2
c)
3
d)
4
65.
Decompose the following fraction:
6/10
a)
1/6 + 5/6
b)
2/10 + 4/10
c)
3/10 + 2/10
d)
1/10 + 1/10 + 3/10
66.

How can you get 3/4?

a)

1/4 + 1/4

b)

2/4 + 1/4

c)

1/4 + 1/4 + 1/4 + 1/4

d)

3/4 + 1/4

67.
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
68.
What is the difference in the following equation in lowest terms:
18/36 - 9/36 =
a)
10/36
b)
1/4
c)
2/3
d)
12/36
69.

What is the sum of the following equation:

2/8 + 4/8 =

a)

6/16

b)

2/8

c)

6/8

d)

2/16

70.

Ms. Cleary is serving her awesome students some pizza for their perfect attendance party! They started with 36 equal slices of pizza. They ate a total of 30 pieces. What fraction was left over?

a)

2/8 or 1/4

b)

12/36 or 1/3

c)

30/36 or 5/6

d)

6/36 or 1/6

71.
What is the difference in the following equation in lowest terms?
18/24 - 10/24
a)
4/24
b)
1/2
c)
10/24
d)
1/3
72.

2/4 - 1/4

a)

3/4

b)

2/4

c)

1/4

73.

2/6 + 1/6

a)

3/6

b)

10/6

c)

12/6

74.
a)

5/4

b)

3/6

c)

4/5

d)

6/7

75.
a)

1/8

b)

1/7

c)

8/1

d)

2/5

76.
a)

5/9

b)

5/8

c)

6/4

d)

9/5

77.
a)

9/12

b)

8/12

c)

12/9

d)

6/4

78.
a)
2/4
b)
1/2
c)
4/4
d)
1
79.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
80.
7/8  +  3/8 =
a)
11/8
b)
1  2/8
c)
1  1/4
d)
Both 1  2/8 and 1  1/4
81.

Jack has 8 slices of pizza. He ate 6 slices. What fraction did he eat?

a)

2/8

b)

6/8

c)

8/8 OR 1

82.
A pizza has 5 pieces. Sara eats 3 of the pieces. What fraction of the pizza did Sara eat?
a)
3/5
b)
2/5
c)
5/5
d)
1/5
83.
There is one large brownie and 2 kids. How much of the brownie should each kid get?
a)
1
b)
1/2
c)
1/3
d)
1/4
84.

Janice ordered a personal pizza for lunch. She ate one-fourth of the pizza at the restaurant, one-fourth as an afternoon snack, and one-fourth when she got home. Which equation below shows what fraction of the pizza Janice ate altogether?

a)

1/4 + 1/4 = 2/4

b)

1/4 + 1/4 + 1/4 = 3/4

c)

1/4 + 1/4 + 1/4 + 1/4 = 4/4

d)

1/4 + 1/4 + 1/4 = 3/12

85.
What fraction is represented at point C?
a)
3/6
b)
3/7
c)
2/6
d)
3/6
86.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
87.
What fraction is represented at point A?
a)
4/5
b)
3/1
c)
3/4
d)
1/3
88.
Which fraction is equivalent to 4/8?
a)
2/8
b)
2/6
c)
2/4
d)
2/2
89.
3/6 ___ 8/12
a)
>
b)
<
c)
=
90.
Look at the shaded model.  Which number sentence is true?
a)
1/8<3/8
b)
3/8<1/8
c)
7/8<5/8
d)
5/8>1/8
91.
Which is NOT an equivalent fraction to one half?
a)
2/4
b)
2/3
c)
4/8
d)
3/6
92.
Place the correct symbol in the space provided:
1/2 ____ 3/8
a)
>
b)
<
c)
=
93.

Write the fraction as a sum of unit fractions.

38\frac{3}{8}  =



(a)  

94.

Which problems correctly show the fraction  67\frac{6}{7}  as the sum of fractions.

a)

37\frac{3}{7}  +  37\frac{3}{7}  

b)

37\frac{3}{7}  +  27\frac{2}{7}  

c)

47\frac{4}{7}  +  27\frac{2}{7}  

d)

47\frac{4}{7}  +  17\frac{1}{7}  

e)

27\frac{2}{7}  +  37\frac{3}{7}  +  17\frac{1}{7}  

95.

16\frac{1}{6}  +  26\frac{2}{6}  =


a)

4/12

b)

1/2

c)

2/6

d)

3/12

96.

35\frac{3}{5}  +  25\frac{2}{5}  =


a)

5/10

b)

1/5

c)

6/5

d)

1

97.

Ted needs  38\frac{3}{8}  of a yard of denim and  48\frac{4}{8}  of a yard of canvas to make a tote bag. How much fabric does Ted need in all?



(a)  

98.

35\frac{3}{5}  -  25\frac{2}{5}  =


a)

1/5

b)

5/5

c)

1/0

d)

1/10

99.

Betsy brought  610\frac{6}{10}  of a pound of trail mix on a camping trip. She ate  310\frac{3}{10}  of a pound of trail mix. How much trail mix is left?



(a)  

100.

1 351\ \frac{3}{5}  +  2 252\ \frac{2}{5}  =


a)

3 153\ \frac{1}{5}  

b)

4

c)

5

d)

3 553\ \frac{5}{5}  

101.

3 473\ \frac{4}{7}  -  1 271\ \frac{2}{7}  =

a)

4 674\ \frac{6}{7}  

b)

3 273\ \frac{2}{7}  

c)

2 272\ \frac{2}{7}  

d)

2 672\ \frac{6}{7}  

102.

Paige hiked  5 455\ \frac{4}{5}  miles. Rebecca hiked  2 252\ \frac{2}{5}  miles. How many more miles did Paige hike than Rebecca.

a)

7 657\ \frac{6}{5}  

b)

2 252\ \frac{2}{5}  

c)

3 203\ \frac{2}{0}  

d)

3 253\ \frac{2}{5}  

103.

6 146\ \frac{1}{4}  -  4 344\ \frac{3}{4}  =

a)

1 241\ \frac{2}{4}  

b)

2 242\ \frac{2}{4}  

c)

10 4410\ \frac{4}{4}  

d)

3 143\ \frac{1}{4}  

104.

Write  2 342\ \frac{3}{4}  as an improper fraction/fraction greater than one.



(a)  

105.

What is  224\frac{22}{4}  as mixed number. There are 2 options.

a)

4 244\ \frac{2}{4}  

b)

5 245\ \frac{2}{4}  

c)

5 125\ \frac{1}{2}  

d)

4 144\ \frac{1}{4}  

e)

4 344\ \frac{3}{4}  

106.

Katie has two lengths of ribbon. The pink ribbon is  5 7125\ \frac{7}{12} feet long and the purple ribbon is  3 6123\ \frac{6}{12} . How much ribbon does Katie have in all?

a)

8 13128\ \frac{13}{12}  

b)

9 1129\ \frac{1}{12}  

c)

2 1122\ \frac{1}{12}  

d)

8 1128\ \frac{1}{12}  

107.

What is  143\frac{14}{3}  as a mixed number?

a)

4 234\ \frac{2}{3}  

b)

3 233\ \frac{2}{3}  

c)

4 134\ \frac{1}{3}  

d)

3 133\ \frac{1}{3}  

108.

Ben uses 312\frac{3}{12}   pound of strawberries and 212\frac{2}{12}   pound of blueberries to make jam.

How many pounds of berries does Ben use to make jam?

a)

524\frac{5}{24}  

b)

612\frac{6}{12}  

c)

512\frac{5}{12}  

d)

12\frac{1}{2}  

109.

To get the correct color, Johan mixed 3 143\ \frac{1}{4}   quarts of white paint, 1 241\ \frac{2}{4}   quarts of blue paint, and 2 342\ \frac{3}{4}   quarts of green paint. How much paint did Johan make? Johan made quarts of paint.

a)

7 247\ \frac{2}{4}  

b)

6 246\ \frac{2}{4}  

c)

6 646\ \frac{6}{4}  

d)

88  

110.

 Nick had 3 143\ \frac{1}{4}   bottles of water for his wrestling practice. When he finished he had 1 241\ \frac{2}{4}   bottles of water left. He said he used 2 142\ \frac{1}{4}   bottles of water during the practice. Do you agree?

a)

Yes

b)

No

111.

The school carnival is divided into sections. The dunk tanks are in 110\frac{1}{10}   of the carnival. Games are in 410\frac{4}{10}   of the carnival. Student exhibits are in 510\frac{5}{10}   of the carnival.

Use the model. What fraction of the carnival is dunk tanks and games?

The fraction of the carnival with dunk tanks AND games is ______

a)

520\frac{5}{20}  

b)

12\frac{1}{2}  

c)

410\frac{4}{10}  

d)

510\frac{5}{10}  

112.

Ilene is making smoothies. The recipe calls for 1 141\ \frac{1}{4}   cups of strawberries. How many cups of strawberries, written as a fraction greater than one, are used in the recipe?

a)

54\frac{5}{4}  

b)

11  

c)

44\frac{4}{4}  

d)

1.251.25  

113.

Betsy brought 612\frac{6}{12}   pound of trail mix on a camping trip. She ate 412\frac{4}{12}   pound of the trail mix. How much trail mix is left?

a)

17\frac{1}{7}  

b)

212\frac{2}{12}  

c)

34\frac{3}{4}  

d)

16\frac{1}{6}  

114.

In a survey, 510\frac{5}{10}  of the students chose a dog and 110\frac{1}{10}   chose a fish as their favorite pet. What fraction shows the students who chose a dog or a fish as their favorite pet?

a)

610\frac{6}{10}  

b)

25\frac{2}{5}  

c)

620\frac{6}{20}  

d)

That is a lot of pets

115.

612212=\frac{6}{12}-\frac{2}{12}=  

a)

812\frac{8}{12}  

b)

424\frac{4}{24}  

c)

412\frac{4}{12}  

d)

1212\frac{12}{12}  

116.

What is the improper fraction of this mixed number:

5 165\ \frac{1}{6}  

a)

31

b)

301\frac{30}{1}  

c)

306 \frac{30}{6\ }  

d)

31 6\frac{31}{\ 6}  

117.

What is the mixed number of this improper fraction:

134\frac{13}{4}  

a)

2 142\ \frac{1}{4}  

b)

3 143\ \frac{1}{4}  

c)

13 1413\ \frac{1}{4}  

d)

12 1212\ \frac{1}{2}  

118.

Is this equation true or false:

6 710+2 110= 4 8106\ \frac{7}{10}+2\ \frac{1}{10}=\ 4\ \frac{8}{10}  

a)

True

b)

False

119.
What is 1/8 + 5/8?
a)
1
b)
6/16 or 3/8
c)
6/or 3/4
d)
2/or 1/2
120.
What is 3/4 + 1/4?
a)
1 or 4/4
b)
3/
c)
10/16 or 5/
d)
1/4
121.
What is 9/16 5/16?
a)
1/2
b)
4/16 or 1/4
c)
5/6
d)
5/8
122.

Anya is planting a garden with Sarah. Sarah wants to make the garden into 9 equal rows and plant corn in 3/9 or 1/3 of the garden. What fraction of the garden will be left for other vegetables?

a)

1

b)

6/9 or 2/3

c)

4/9

d)

5/9

123.
Kayden has 3/9 of a pizza and Laila gave her 2/9 of a pizza.  How much pizza does Kayden have now?
a)
5 Pizzas
b)
5/9 of a pizza
c)
1/9 of a pizza
d)
1 pizza
124.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
c)
fractionator
d)
equivalent