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Name _____________________________
Date ___________________
Fractions
Find the value of y.
1.  
1

2
  +  
y

2
  =  1

y  =  _____
2.  
y

8
  +  
7

8
  =  
1
1

4

y  =  _____
3.  
1

6
  +  
2

3
  =  
5

y

y  =  _____
4.  
4

9
  +  
8

9
  =  
1
y

3

y  =  _____
5.  
6

7
  +  
6

7
  =  
1
5

y

y  =  _____
6.  
y

5
  +  
4

5
  =  1

y  =  _____
7.  
2

3
  +  
y

3
  =  
1
1

3

y  =  _____
8.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.

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

2

4
1

4



10.  
 - 

2

3
1

3



11.  
 - 

7

8
3

8



12.  
 - 

8

9
5

9



13.  
 - 

3

7
1

7




Solve.
14.   Mom cut the pizza into twenty-four pieces. Jonathan ate two-thirds of the pizza. How many pieces did Jonathan eat?

15.   There are thirty-five notes on the desk. Six-sevenths of the notes are for Mr. White. How many of the notes are not for Mr. White?

16.   There are eighty pencils in the pencil cup. One-eighth of them are yellow. How many of the pencils are not yellow?

17.   Ryan has eighty-one hammers in his toolbox. Four-ninths of them are broken. How many hammers are broken?


 

Key #2
aKey #2
Complete. Write your answer as a mixed number in simplest form.
18.  
4

6
  -  
3

6
  =  

19.  
1

2
  +  
1

2
  =  

20.  
7

9
  +  
1

9
  =  

21.  
6

7
  -  
1

7
  =  

22.  
5

6
  -  
3

6
  =  

23.  
2

5
  +  
2

5
  =  

24.  
1

8
  +  
4

8
  =  

25.  
3

4
  -  
1

4
  =  


Find the value of y.
26.  
6
6

7
  -  
1
2

7
  =  
5
4

y

y  =  _____
27.  
7

9
  +  
4
y

9
  =  
5
2

3

y  =  _____
28.  
5
y

3
  +  
3
1

3
  =  
8
2

3

y  =  _____
29.  
4
5

6
  -  
1
y

6
  =  3

y  =  _____
30.  
1
y

2
  -  
1
1

2
  =  0

y  =  _____
31.  
3
1

2
  +  
3

4
  =  
4
y

4

y  =  _____
32.  
3
4

5
  -  
2
1

5
  =  
1
3

y

y  =  _____
33.  
2
1

2
  +  
3
y

2
  =  6

y  =  _____

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

1

3
4

9



35.  
 + 

2

4
1

2



36.  
 + 

3

6
1

2



37.  
 + 

4

5
9

10



38.  
 + 

5

7
1

2




Solve. Write your answer as a mixed number in simplest form.
39.   Brianna made three-fifths of a pound of candy. Of the candy Brianna made, one-fifth of a pound was fudge. How much of the candy was not fudge?

40.   Emily added one-seventh of a cup of flour to half of a cup of cornmeal to make cornmeal muffins. How much of the flour and cornmeal mixture did she have?

41.   Mackenzie picked half of a basket of apples yesterday. Today she picked one-sixth of a basket of apples. What part of a basket of apples has Mackenzie picked in all?

42.   Morgan made six-sevenths of a pound of taffy. Of the taffy Morgan made, the students in her class ate four-sevenths of a pound of it. How much taffy was left?


 

Key #2
aKey #2
Find the difference. Write your answer as a mixed number in simplest form.
43.  
2

6
  -  
1

9
  =  

44.  
2

3
  -  
1

2
  =  

45.  
1

2
  -  
1

4
  =  

46.  
3

4
  -  
1

3
  =  

47.  
2

3
  -  
2

5
  =  

48.  
1

2
  -  
3

7
  =  

49.  
6

9
  -  
4

6
  =  

50.  
7

8
  -  
3

4
  =  


Complete. Write your answer as a mixed number in simplest form.
51.  
 - 

1

2
1

8



52.  
 - 

5

6
6

9



53.  
 + 

2

3
2

5



54.  
 + 

3

5
1

2



55.  
 - 

2

3
1

4




Find the value of y.
56.  
4
2

3
  +  
5

y
  =  
5
2

9

y  =  _____
57.  
2

3
  -  
1

2
  =  
y

6

y  =  _____
58.  
3
3

4
  -  
3
1

3
  =  
5

y

y  =  _____
59.  
2
3

4
  +  
6
y

4
  =  
9
1

2

y  =  _____
60.  
1
y

7
  -  
1

2
  =  
9

14

y  =  _____
61.  
6
3

y
  +  
6
2

5
  =  13

y  =  _____
62.  
4
1

3
  -  
3
y

2
  =  
5

6

y  =  _____
63.  
1
y

2
  +  
4
11

12
  =  
6
5

12

y  =  _____

Solve. Write your answer as a mixed number in simplest form.
64.   The distance from our house to the grocery store is two and a half miles. The distance from our house to the mall is seven and one-fifth miles. How much further is the mall than the grocery store from our house?

65.   Matthew picked eight and three-elevenths bushels of corn yesterday and four bushels today. How many bushels of corn did Matthew pick in all?

66.   Rachel's breadstick measured seven and a third inches. Elizabeth's breadstick measured nine and two-thirds inches. What was the total length of both breadsticks?

67.   Kaitlyn's pencil is three and one-fourth inches long. Rebecca's pencil is four and a third inches long. How long are the two pencils altogether?


 

Key #2
aKey #2
Find the sum. Write your answer as a mixed number in simplest form.
68.  
1

2
  +  
2

6
  =  

69.  
2

4
  +  
1

2
  =  

70.  
4

6
  +  
3

4
  =  

71.  
5

7
  +  
1

2
  =  

72.  
6

9
  +  
4

6
  =  

73.  
1

8
  +  
1

4
  =  

74.  
2

3
  +  
4

6
  =  

75.  
4

8
  +  
3

4
  =  


Solve. Write your answer as a mixed number in simplest form.
76.   Sierra cut thirteen and a third yards of material. Of those, three and a half yards were yellow and one and two-sevenths yards were red. How much material was not yellow or red?

77.   Kaylee put one-fifth 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 one-fourth of a cup. How much sugar was left in the bowl?

78.   Nathan had five gallons of water in the refrigerator. Of those, two and one-fourth gallons were spring water and two and one-fifth gallons were filtered water. How many gallons of water were not spring or filtered?

79.   Kyle made punch for the party. He used two and a third cups of pineapple juice, one and two-thirds cups of ginger ale, and one and one-fourth cups of white grape juice. How much liquid did he use in the punch?


Solve. Write your answer as a mixed number in simplest form.
80.   Zachary had the task of cooking the food at our neighborhood picnic. He made forty-two burgers. Half of the burgers were vegetarian. How many burgers were not vegetarian burgers?

81.   On the dog food Jessica bought for her dog the directions said to give the dog three-fourths of a cup of food once a day. How much dog food will Jessica give her dog in two days?

82.   The Jones family bought a new house. The interior looked old, so they decided to paint it. At the paint store, the clerk mixed the paint for them. The color was one-fifth blue, one-fifth purple and the rest white. What fraction of the paint was white?

83.   Katherine was helping her mother prepare a dessert for a very special guest. The recipe called for three-fourths of a teaspoon of ground cloves, half of a teaspoon of allspice, half of a teaspoon of cinnamon, and half of a teaspoon of pepper. What was the total measure of the spices in the recipe?


 


Answer Key


Sample
This is only a sample worksheet.

Create a new printable
Answer key also includes questions
Answer key only gives the answers
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   Worksheets and No Prep Teaching Resources
Fractions
Math Worksheets

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