adding and subtracting fractions worksheets
TRANSCRIPT
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
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.
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=
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 =
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.
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
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?
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