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 Name _____________________________ Date ___________________
Fractions
Find the sum. Write your answer as a mixed number in simplest form.
1.
 78
+
 38
=

2.
 15
+
 45
=

3.
 56
+
 26
=

4.
 23
+
 13
=

5.
 14
+
 24
=

 6 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
7.
 59
+
 89
=

8.
 47
+
 37
=

Find the value of y.
9.
 34
-
 14
=
 1y

y  =  _____
10.
 79
-
 y9
=
 13

y  =  _____
11.
 23
-
 13
=
 y3

y  =  _____
12.
 y7
-
 37
=
 37

y  =  _____
13.
 y5
-
 15
=
 25

y  =  _____
14.
 56
-
 23
=
 y6

y  =  _____
15.
 y2
-
 12
=  0

y  =  _____
16.
 34
-
 14
=
 y2

y  =  _____

Solve.
 17 Olivia has thirty-two dolls. One-fourth of the dolls have brown hair. How many of her dolls don't have brown hair?
 18 David has twenty hammers in his toolbox. Half of them are broken. How many hammers are broken?
 19 There were fifteen people in line at the counter. Two-thirds of them were men. How many people in line were not men?
 20 Caleb bought forty sheets of paper. He has used two-fifths of the paper. How many sheets of paper did Caleb use?

 Key #2
 aKey #2
21.
-

 27
 17

22.
+

 12
 12

23.
+

 59
 69

24.
-

 45
 35

25.
+

 34
 14

Find the value of y.
26.
3
 23
-
 y3
=
3
 13

y  =  _____
27.
4
 y4
+
4
 14
=
8
 12

y  =  _____
28.
 58
+
2
 58
=
3
 y4

y  =  _____
29.
5
 45
-
5
 25
=
 2y

y  =  _____
30.
1
 13
+
3
 13
=
4
 2y

y  =  _____
31.
6
 y7
-
6
 37
=  0

y  =  _____
32.
2
 79
+
1
 y9
=
4
 29

y  =  _____
33.
4
 y2
-
1
 12
=  3

y  =  _____

Find the sum. Write your answer as a mixed number in simplest form.
34.
 13
+
 25
=

35.
 37
+
 12
=

36.
 89
+
 36
=

37.
 12
+
 14
=

38.
 34
+
 56
=

39.
 16
+
 12
=

40.
 78
+
 12
=

41.
 45
+
 12
=

 42 Christian measured the two bugs he found. The cricket was three-fourths of an inch long. The ant was one-fourth of an inch long. How much longer was the cricket than the ant?
 43 Shelby ate one-fourth of her orange before lunch and half of her orange after lunch. How much of her orange did she eat in all?
 44 On Monday Joseph picked two-thirds of a pound of strawberries. On Tuesday he picked two-thirds of a pound of strawberries. What was the total weight of the strawberries Joseph picked?
 45 There were six bananas on the counter. Half of the bananas were eaten yesterday. One-sixth of the bananas were eaten today. What fraction of the bananas have been eaten in all?

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

 34
 12

47.
-

 35
 12

48.
-

 58
 14

49.
-

 24
 612

50.
-

 34
 46

51.
 29
+
 26
=

52.
 15
+
 13
=

53.
 78
-
 34
=

54.
 89
-
 23
=

55.
 56
-
 24
=

56.
 34
+
 68
=

57.
 12
+
 23
=

58.
 13
-
 16
=

59.
-

1
 68
1
 12

60.
+

3
 29
2
 23

61.
+

 34
4
 68

62.
-

5
 12
5
 17

63.
+

2
 35
 910

 64 Sierra's breadstick measured eight and a third inches. Samantha's breadstick measured nine and four-sevenths inches. What was the total length of both breadsticks?
 65 Morgan cut three and one-fourth yards of striped material and two and three-sevenths yards of solid material. How much material did she cut in all?
 66 All of Cody's school books weigh a total of twelve and a half pounds. If you take away his math book, the total weight drops to ten and a half pounds. How much does Cody's math book weigh?
 67 Jessica picked twelve and two-thirds bushels of apples on Friday and eleven and a third bushels of apples on Saturday. How many bushels of apples did she pick altogether?

 Key #2
 aKey #2
Find the value of y.
68.
 7y
-
 15
=
 12

y  =  _____
69.
 13
-
 29
=
 1y

y  =  _____
70.
 34
-
 y12
=
 13

y  =  _____
71.
 y2
-
 12
=  0

y  =  _____
72.
 56
-
 2y
=
 16

y  =  _____
73.
 34
-
 23
=
 y12

y  =  _____
74.
 y7
-
 12
=
 314

y  =  _____
75.
 1y
-
 15
=
 310

y  =  _____

 76 Noah was fifty-seven and a half inches tall on his birthday this year. Last year on his birthday he was fifty-four and a half inches tall. How much has he grown in the last year?
 77 Kaitlyn jogged three and one-fourth miles on Saturday. She jogged one and one-fifth miles to the store and one-fifth of a mile to the coffee shop. How many miles did she jog going places other than the store and the coffee shop?
 78 Alyssa put one-fifth of a cup of sugar into the bowl. She then added one and a half cups more. Realizing that she put in too much, she removed two-fifths of a cup. How much sugar was left in the bowl?
 79 Jacob had seven gallons of water in the refrigerator. Of those, two and a third gallons were spring water and two and one-fourth gallons were filtered water. How many gallons of water were not spring or filtered?

 80 Christopher had to concentrate on finishing his math problems. He just didn't like fractions. His mind had gone blank. There were thirty-eight problems. He had done half of them at school. When he starts on them again, how many more problems does he have to do?
 81 All of the students in Ms. Smith's class made cards. Some of the cards were made from white paper and some of the cards were made from black paper. If there are twenty-five students in the kindergarten class and two-fifths of them made their cards from white paper, how many students used black paper for their cards?
 82 Hunter's mother is making three popcorn cakes. It takes half of a pound of gumdrops to make one cake. How much will it take to make three cakes?
 83 Brianna brought a box of seventy-six apples to school. She told our teacher there had never been so many apples on the trees in her family's backyard. She wanted to share them with the class. She gave our class three-fourths of the apples. How many apples did she have left?