adding and subtracting fractions worksheets

8
Exercise 1 Using the previously shown method, write just the LCD for the following sets of fractions (Do Not Solve) 1) 1 2 , 1 3 2) 2 5 , 2 3 3) 5 8 , 1 2 4) 1 4 , 1 3 5) 1 7 , 2 5 6) 4 9 , 1 3 7) 3 4 , 1 2 8) 7 8 , 3 5 9) 3 10 , 2 3 10) 13 15 , 4 5 11) 1 2 , 2 3 , 5 6 12) 3 4 , 5 8 , 7 16 13) 3 8 , 1 6 , 1 3 14) 1 7 , 1 2 , 1 3 15) 3 8 , 1 5 , 1 3

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Page 1: Adding and Subtracting Fractions Worksheets

Exercise 1Using the previously shown method, write just the LCD for the following sets of fractions (Do Not Solve)

1)

12,13 2)

25,23 3)

58,12

4)

14,13 5)

17,25 6)

49,13

7)

34,12 8)

78,35 9)

310,23

10)

1315,45 11)

12,23,56 12)

34,58,716

13)

38,16,13 14)

17,12,13 15)

38,15,13

Page 2: Adding and Subtracting Fractions Worksheets

Exercise 2Find the number that belongs in the space by building or reducing equivalent fractions.

1)

12=10 2)

23=15 3)

56=12

4)

34

=12 5)

25=20 6)

57=21

7)

36=2 8)

68=4 9)

810

=5

10)

1224

=2 11)

530

=6 12)

714

=2

13)

27=35 14)

742

=6 15)

1015

=3

16)

18=24 17)

13=24 18)

2022

=11

19)

2142

=2 20)

1751

=3 21)

1030

=3

Exercise 3Simplify the following fractions. Reduce if possible.

Page 3: Adding and Subtracting Fractions Worksheets

1)

65= 2)

54 = 3)

73=

4)

106 = 5)

42 = 6)

64 =

7)

153 = 8)

2012= 9)

194 =

10)

235 = 11)

183 = 12)

175 =

13)

379 = 14)

288 = 15)

479 =

16)

1064 = 17)

172 = 18)

14020 =

19)

16210 = 20)

385 = 21)

523 =

Exercise 4Add or subtract the following fractions. Simplify and reduce when possible.

1)

27

+37

=2)

914

+ 114

=3)

16

+36=

Page 4: Adding and Subtracting Fractions Worksheets

4)

35+ 14

=5)

23+12

=6)

45

+12

=

7)

24

+36

=8)

56

+38=

9)

79

+23=

10)

34

−12=

11)

35−13=

12)

78−23=

13)

512

−14

=14)

911

−12=

15)

1112

− 56=

16)

12−13=

17)

56− 14

=18)

910

−13=

19)

820

+15=

20)

1415

−16=

21)

47

−38=

22)

612

+12

=23)

89−23=

24)

1216

+58=

25)

37−16

=26)

45

− 610

=27)

213

+23=

Exercise 5Add or subtract the following mixed numbers. Simplify and reduce when possible.

1) 8 45+8 110 = 2)

1 23+ 37= 3)

16 58+1112 =

Page 5: Adding and Subtracting Fractions Worksheets

4) 3 45+6 23+51115 = 5)

11112

−23= 6)

4 18−1

=

7) 5 16−2 1

3= 8) 14 12−2 18= 9)

7 25+1 15=

10) 2 23− 14= 11)

12 17−8 2

3= 12) 4 47−3 67 =

13) 16 56−2 13= 14)

14−2 19= 15)

146+8 15=

16) 5 56+1012 = 17)

6−4 78= 18)

11 35−5

=

19)

23+7

= 20) 2 48+1 23= 21)

100−4 38=

Exercise 6Solve the following add/subtract fraction word problems

1. Find the total width of 3 boards that 1 34 inches wide,

78 inch

wide, and 1 12 inches wide.

Page 6: Adding and Subtracting Fractions Worksheets

2. A 7.15H tire is 6 58 inches wide and a 7.15C tire is

4 34 inches

wide. What is the difference in their widths?

3. A patient is given 1 12 teaspoons of medicine in the morning and

2 14 teaspoons at night. How many teaspoons total does the

patient receive daily?

4. 3 13 feet are cut off a board that is

12 14 feet long. How long is

the remaining part of the board?

5.

38 of the corn in the U.S. is grown in Iowa.

14 of it is grown in

Nebraska. How much of the corn supply is grown in the two states?

6. A runner jogs 7 15 miles east,

5 14 miles south, and

8 23 miles west.

How far has she jogged?

7. If 3 12 ounce of cough syrup is used from a

9 14 ounce bottle, how

much is left?

8. I set a goal to drink 64 ounces of water a day. If I drink 10 13

Page 7: Adding and Subtracting Fractions Worksheets

ounces in the morning, 15 12 ounces at noon, and

20 56 ounces at

dinner, how many more ounces of water do I have to drink to reach my goal for the day?

9. Three sides of parking lot are measured to the following lengths:

108 1

4 feet, 162 3

8 feet, and 143 1

2 feet. If the distance around the

lot is 51815

16 feet, find the fourth side.

10. Gabriel wants to make five banners for the parade. He has 75

feet of material. The size of four of the banners are: 12 13 ft.,

16 16 ft.,

11 34 ft., and

14 12 ft. How much material is left for the

fifth banner?

Page 8: Adding and Subtracting Fractions Worksheets

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5 Exercise 6

1) 6 1) 5

1) 115 1)

57 1)

16910 1)

418 inches

2) 15 2) 10

2) 114 2)

57 2)

2221 2)

178 inches

3) 8 3) 10

3) 213 3)

23 3)

171324 3)

334

teaspoons4) 12 4) 9

4) 123 4)

1720 4)

1615 4)

81112 feet

5) 35 5) 8 5) 2

5) 116 5)

114 5)

58

6) 9 6) 15

6) 112 6)

1310 6)

318 6)

21760 miles

7) 4 7) 1 7) 5 7) 1

7) 256 7)

534 ounces

8) 40 8) 3

8) 123 8)

1524 8)

1238 8)

1713 ounces

9) 30 9) 4

9) 434 9)

149 9)

835 9)

1041316 feet

10) 15 10) 1

10) 435 10)

14 10)

2512 10)

2014 ft.

11) 6 11) 1 11) 6

11)

415 11)

31021

12) 16 12) 112) 325 12)

524 12)

57

13) 24 13) 10

13) 419 13)

16 13)

1412

14) 42 14) 114) 312 14)

722 14)

1189

15) 120 15) 2

15) 529 15)

112 15)

15415

16) 316)

2612 16)

16 16)

623

17) 817) 812 17)

712 17)

118

18) 10 18) 7

18)

1730 18)

635

19) 119)

1615 19)

35 19)

723

20) 120) 735 20)

2330 20)

416

21) 121)

1713 21)

1156 21)

9558

22) 1

23) 29

24) 138

25) 1142

26) 15

27) 3239