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Fractions
Math

 Name _____________________________ Date ___________________
Fractions
Find the sum. Write your answer as a mixed number in simplest form.
1.
 23
+
 13
=

2.
 12
+
 12
=

3.
 45
+
 35
=

4.
 36
+
 56
=

5.
 14
+
 14
=

 6 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
7.
 29
+
 79
=

8.
 57
+
 67
=

Find the difference. Write your answer as a mixed number in simplest form.
9.
-

 79
 19

10.
-

 68
 38

11.
-

 34
 24

12.
-

 23
 13

13.
-

 56
 46

Solve.
 14 Thomas bought thirty sheets of paper. He has used two-thirds of the paper. How many sheets of paper are left?
 15 Ashley has forty-five notebooks. Two-fifths of them are for school. How many of the notebooks are for school?
 16 Miss Lee has thirty plants. Three-fifths of them have flowers. How many of her plants don't have flowers?
 17 There are forty cows in the field. Half of the cows are black and white. How many of the cows are not black and white?

 Key #2
Find the value of y.
18.
 79
-
 49
=
 y3

y  =  _____
19.
 y6
-
 13
=
 12

y  =  _____
20.
 y2
+
 12
=  1

y  =  _____
21.
 13
+
 y3
=  1

y  =  _____
22.
 45
-
 25
=
 y5

y  =  _____
23.
 34
+
 34
=
1
 1y

y  =  _____
24.
 67
-
 y7
=
 17

y  =  _____
25.
 y2
+
 18
=
 58

y  =  _____

Find the value of y.
26.
3
 y5
+
2
 35
=
6
 25

y  =  _____
27.
4
 27
+
1
 27
=
5
 y7

y  =  _____
28.
2
 12
-
 y6
=
2
 13

y  =  _____
29.
5
 34
-
4
 58
=
1
 1y

y  =  _____
30.
 12
+
3
 y4
=
3
 34

y  =  _____
31.
1
 y2
-
 12
=  1

y  =  _____
32.
6
 y3
+
2
 23
=  9

y  =  _____
33.
1
 89
-
1
 y3
=
 59

y  =  _____

Find the sum. Write your answer as a mixed number in simplest form.
34.
 36
+
 13
=

35.
 27
+
 12
=

36.
 15
+
 910
=

37.
 58
+
 12
=

38.
 12
+
 45
=

39.
 14
+
 12
=

40.
 23
+
 26
=

41.
 69
+
 23
=

 42 Danielle ate five-sevenths of her orange before lunch and one-seventh of her orange after lunch. How much of her orange did she eat in all?
 43 There are ten pieces of pizza. Brian ate one-tenth of the pizza for dinner. He ate four-fifths of the pizza for a bedtime snack. How much of the pizza is left?
 44 On Friday Devin ate seven-tenths of a pound of cherries. On Saturday he ate half of a pound of cherries. What was the total weight of the cherries Devin ate?
 45 There are nine pieces of pizza. Cameron ate two-ninths of the pizza for dinner. He ate two-thirds of the pizza for a bedtime snack. How much of the pizza has he eaten in all?

 Key #2
Find the difference. Write your answer as a mixed number in simplest form.
46.
-

 12
 15

47.
-

 23
 36

48.
-

 24
 13

49.
-

 47
 12

50.
-

 78
 12

Find the value of y.
51.
 y2
-
 27
=
 314

y  =  _____
52.
 1y
+
 13
=
 56

y  =  _____
53.
 34
-
 12
=
 y4

y  =  _____
54.
 14
+
 3y
=  1

y  =  _____
55.
 45
+
 23
=
1
 7y

y  =  _____
56.
 23
+
 y9
=
1
 59

y  =  _____
57.
 y3
-
 12
=
 16

y  =  _____
58.
 45
-
 1y
=
 715

y  =  _____

59.
5
 12
-
 27
=

60.
4
 78
+
3
 12
=

61.
1
 25
-
 13
=

62.
 23
+
6
 312
=

63.
6
 49
-
3
 12
=

64.
2
 36
+
5
 12
=

65.
1
 67
+
1
 12
=

66.
 12
-
 17
=

 67 Sydney's pencil is six and a half inches long. Danielle's pencil is seven and one-twelfth inches long. How long are the two pencils altogether?
 68 Jennifer made a cake. She used one and a half cups of white flour and three cups of whole-wheat flour. How much flour did she use in all?
 69 Abigail walked a mile in nineteen and one-fifth minutes. It took Morgan only fourteen and a half minutes. How much long did it take Abigail to walk a mile?
 70 Jordan made a snack of peanuts and M&Ms®. He used three and one-fourth cups of peanuts and one and a half cups of M&Ms®. How much snack did Jordan make?

 Key #2
Find the sum. Write your answer as a mixed number in simplest form.
71.
 37
+
 12
=

72.
 89
+
 16
=

73.
 12
+
 24
=

74.
 56
+
 49
=

75.
 24
+
 12
=

76.
 58
+
 24
=

77.
 35
+
 510
=

78.
 45
+
 12
=

 79 Katherine put a third of a cup of sugar into the bowl. She then added one and one-fourth cups more. Realizing that she put in too much, she removed two-fifths of a cup. How much sugar was left in the bowl?
 80 There were eight cups of strawberries in a large bowl on the table. After school, Austin ate two-ninths of them. How many cups of strawberries were left in the bowl?
 81 Jordan made ten cups of snack mix for the pool party. She used three and one-fourth cups of mixed nuts, two and a half cups of pretzel sticks, and crispy cereal to make the snack mix. How many cups of crispy cereal did she use?
 82 Kayla cut eleven and a half yards of material. Of those, two and a half yards were yellow and three and one-seventh yards were red. How much material was not yellow or red?

 83 Fall is Natalie's favorite season. She and her sister have made a scrapbook. In it are some of their favorite leaves. Some are red, some are orange, some are yellow, and some are green. They have fifty leaves in it so far. Two-fifths of the leaves are green. How many of their leaves are not green?
 84 We are going to Los Angeles. It should take us three and a third hours to get there by airplane. It would take about twenty-nine and one-fifth hours to get there by train. How much time do we save by flying?
 85 William wanted to paint his bike an unusual color. If he mixes one and a half pints of yellow paint with one and one-fourth pints of green paint, how much paint will he make?
 86 Joshua has a huge crush on Alyssa. He wants to send her a box of candy shaped like a heart with a lace border on her birthday. The gift will cost him one-sixth of his savings. If he has \$36 in his bank account, how much does the box of candy cost?

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