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Adding and subtracting fractions with Mixed numbers review

Total questions: 83

Worksheet time: 21hrs 45mins

Name
Class
Date
1.

What is the result of adding 1 151\ \frac{1}{5} and 1 6101\ \frac{6}{10} ?
Select all possible answers

a)

2 452\ \frac{4}{5}

b)

2 8102\ \frac{8}{10}

c)

3

d)

2 352\ \frac{3}{5}

e)

2 7102\ \frac{7}{10}

2.

What is the result of subtracting 5 265\ \frac{2}{6} - 4 10184\ \frac{10}{18} ?

a)

1 491\ \frac{4}{9}

b)

79\frac{7}{9}

c)

1 231\ \frac{2}{3}

d)

49\frac{4}{9}

3.

What is the result of adding 3 163\ \frac{1}{6} and 4 1124\ \frac{1}{12} ?

a)

7 147\ \frac{1}{4}

b)

7 137\ \frac{1}{3}

c)

7 127\ \frac{1}{2}

d)

7 237\ \frac{2}{3}

4.

What is the result of adding 1321\frac{3}{2} + 96\frac{9}{6} ?

a)

44

b)

2 122\ \frac{1}{2}

c)

3

d)

2 162\ \frac{1}{6}

e)

3 263\ \frac{2}{6}

5.

What number could be a common denominator for these two fractions?

2/3 and 3/4

a)

3

b)

4

c)

7

d)

12

6.
2/3 + 1/2 = 
a)
6/7
b)
2/6
c)
3/5
d)
7/6
7.
5/7 + 1/28 = 
a)
6/35
b)
12/196
c)
21/28
d)
1
8.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
9.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
10.
93/100 - 4/5 = 
a)
1/2
b)
13/100
c)
89/95
d)
These fractions cannot be subtracted
11.
Convert the mixed fraction to a improper fraction.
a)
22 /9
b)
20/9
c)
31 / 9
d)
4/6
12.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
13.
Convert the mixed fraction to a improper fraction.
a)
30 /8
b)
32 /8
c)
34 /8
d)
28 /8
14.
12/5= 
a)
1  2/5
b)
2  2/5 
c)
7/5
d)
3 1/5 
15.
15/7= 
a)
1 3/7 
b)
2 1/7
c)
1/7 
d)
3 3/7 
16.
9/8 
a)
1  3/8
b)
2  1/8
c)
2  2/8 
d)
1  1/8
17.
a)
4 9/15
b)
4 1/4
c)
4
18.
a)
3 1/3
b)
3 2/3
c)
3 1/2
19.
a)
13 16/25
b)
13 1/4
c)
14 2/5
20.
The Jacobys went on a 600 mile trip. On the first day, they drove 5 2/3 hours and on the second day they drove 4 3/5 hours. How many hours did they drive during the first two days?
a)
10 4/15 hours
b)
10 hours
c)
9 19/30 hours
d)
9 4/15 hours
21.
Rick made a paper football that was 1 1/6 inches long. Carly made one that was 5/6 of inch long. How much longer was Rick's paper football than Carly's?
a)
2 inches
b)
1 4/6 inches
c)
1 2/3 inches
d)
1/3 inch
22.
Monique wants to bake a cake. She needs 2 1/8 cups of sugar, and 1 5/24 cups of flour. How many cups of ingredients will she use in all?
a)
3 8/24 cups
b)
3 3/32 cups
c)
3 8/32 cups
d)
3 3/24 cups
23.
Jerome wants to walk to school. He lives 2 1/4 miles away. So far, he has walked 7/8 of a mile. How far does he have left to go?
a)
1 3/8
b)
2 6/4
c)
1 6/8
d)
2 3/4
24.
What must you do first in order to add or subtract fractions with unlike denominators?
a)
add the numerators
b)
add the denominators
c)
find a common denominator
d)
find a common numerator
25.
Bonus Challenge!!!
(4/5 - 1/10) + 2/3 = 
a)
5/8
b)
41/30
c)
7/18
d)
12/15
26.

3/5 - 1/3 =

a)

2/15

b)

2/2 = 1

c)

1/2

d)

4/15

27.

Write the mixed number as an improper fraction

2 3/5

(a)  

28.

Write the mixed number as an improper fraction

5 6/7

(a)  

29.
a)
1
b)
3
c)
9
d)
8
30.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

31.
a)
5 41/42
b)
5 1/3
c)
6 41/42
d)
5 1/8
32.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

33.
Change the mixed number into an improper fraction.
a)
4/3
b)
3/4
c)
1/2
d)
3/2
34.

Write the improper fraction as a mixed number

27/8

a)

3 2/8

b)

4 3/8

c)

8 3/4

d)

3 3/8

35.

Write the mixed number as an improper fraction

4 5/8

(a)  

36.

Write the improper fraction as a mixed number

12/4

a)

3 3/4

b)

3 1/4

c)

3

d)

4

37.
a)
14/16
b)
7/8
c)
8/7
d)
4/10
38.
What is 3/4 + 1/4 = ?
a)
4/4 
b)
0/4
c)
2/4
d)
1/2
39.
Solve.
a)
3/4
b)
3/8
c)
2/4
d)
3/16
40.

What is 2/8 + 3/8 = ?

a)
b)
c)
41.
3/8 + 2/8
a)
5/8
b)
1/8
c)
5/16
42.
The top number is called the ___________.
a)
denominator
b)
numerator
43.
5/6 + 1/6
a)
6/12
b)
6/6 or 1
44.
The bottom number is called the __________.
a)
numerator
b)
denominator
45.

Quin buys 5/8 pound of red grapes and 2/8 pound green grapes. How many pounds did Quin buy?

a)

7/8 pound

b)

3/8 pound

46.
2/5 + 2/5 = 
a)
4/5
b)
3/5
c)
1
d)
4/10
47.
4/9 + 3/9 = 
a)
7/18
b)
7/9
c)
1/9
d)
6/9
48.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
49.
a)

45\frac{\text{4}}{\text{5}}

b)

410\frac{\text{4}}{\text{10}}

c)

25\frac{\text{2}}{\text{5}}

d)

5

50.
simplify   6/12
a)
2
b)
1/2
c)
2/6
d)
6/6
51.

Simplify 10/14

a)

10/14

b)

5/7

c)

20/28

d)

6/7

52.
simplify   6/9
a)
2/3
b)
2/4
c)
3/3
d)
2
53.
What is the sum of these fractions?
a)
4/5
b)
3/20
c)
17/20
d)
4/20
54.

Add the following fraction:

26 + 36\frac{2}{6}\ +\ \frac{3}{6}  



(a)  

55.

Which of the following is true?

a)

undefined 

b)

26+36=512\frac{2}{6}+\frac{3}{6}=\frac{5}{12}  

c)

25+25=410\frac{2}{5}+\frac{2}{5}=\frac{4}{10}  

56.

Combine the following:  75100+40100=\frac{75}{100}+\frac{40}{100}=  



(a)  

57.

Simplify the following:  1020+1020\frac{10}{20}+\frac{10}{20}



(a)  

58.

Which of the following equations is true?

a)

48+28=616\frac{4}{8}+\frac{2}{8}=\frac{6}{16}  

b)

510+210=710\frac{5}{10}+\frac{2}{10}=\frac{7}{10}  

c)

27+27=57\frac{2}{7}+\frac{2}{7}=\frac{5}{7}  

59.

Add the following:  56+76\frac{5}{6}+\frac{7}{6}



(a)  

60.

45+15=\frac{4}{5}+\frac{1}{5}=  

Add the following:



(a)  

61.

Zack and Julie started a lemonade stand to raise money.
They donated 410\frac{4}{10}  of their profits to their school library,  110\frac{1}{10}   to the animal shelter, and  310\frac{3}{10}   to the food bank. They saved the rest to buy materials for their next project. 



What fraction of their profits did Zack and Julie donate?



(a)  

62.

Raja is baking his favorite cookies. The recipe calls for  38\frac{3}{8}  of a stick of butter, but he wants to double the recipe.

How much butter will Raja need?



(a)  

63.

Find the sum:  56+14\frac{5}{6}+\frac{1}{4}  
Mark all that apply.

a)

610\frac{6}{10}  

b)

1312\frac{13}{12}  

c)

2624\frac{26}{24}  

d)

11121\frac{1}{12}  

64.

45410=\frac{4}{5}-\frac{4}{10}=  

a)

05\frac{0}{5}  

b)

25\frac{2}{5}  

c)

310\frac{3}{10}  

d)

810\frac{8}{10}  

65.

512+16\frac{5}{12}+\frac{1}{6}  

a)

618\frac{6}{18}  

b)

612\frac{6}{12}  

c)

34\frac{3}{4}  

d)

712\frac{7}{12}  

66.
a)
1
b)
3/6
c)
1/2
d)
2
67.

3/8 + 2/4 =

a)

5/12

b)

5/8

c)

7/8

d)

6/8

68.
1/4 + 3/8 =
a)
5/8
b)
3/8
c)
4/12
d)
4/8
69.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
70.
7/15 - 1/5 = 
a)
5/6
b)
4/15
c)
3/5
71.

56+812=\frac{5}{6}+\frac{8}{12}=  

a)

212\frac{2}{12}  

b)

1712\frac{17}{12}  

c)

1318\frac{13}{18}  

d)

1 121\ \frac{1}{2}  

72.

12448=\frac{12}{4}-\frac{4}{8}=  

a)

288\frac{28}{8}  

b)

84\frac{8}{4}  

c)

2 122\ \frac{1}{2}  

d)

198\frac{19}{8}  

73.

13212=\frac{1}{3}-\frac{2}{12}=  

a)

612\frac{6}{12}  

b)

16\frac{1}{6}  

c)

19\frac{1}{9}  

d)

712\frac{7}{12}  

74.

Simplify 4/10

a)

1/3

b)

2/3

c)

2/4

d)

2/5

75.

What is 27/63 in its simplest form?

a)

9/21

b)

3/7

c)

9/7

d)

7/3

76.

Change this improper fraction to a mixed number

17/3

a)

6 1/3

b)

5 1/3

c)

5 2/3

d)

7 1/3

77.

Change this mixed number into an improper fraction

4 3/8

a)

21/8

b)

20/8

c)

31/8

d)

35/8

78.

2/5 + 1/5 =

a)

3/5

b)

4/5

c)

1 1/5

d)

2/5

79.

3/7 - 2/7 =

a)

5/7

b)

3/7

c)

1/7

d)

2/7

80.

2/5 + 3/8 =

a)

5/13

b)

31/40

c)

12/13

d)

16/40

81.

4/15 +7/9

a)

13/24

b)

1 3/45

c)

1 2/45

d)

1 4/25

82.

1 2/3 + 5 1/2 =

a)

6 1/6

b)

6 5/6

c)

7 1/3

d)

7 1/6

83.

4/9 - 3/11 =

a)

16/99

b)

17/99

c)

14/99

d)

1/2