ADD FRACTIONS, SUBTRACT FRACTIONS
PROBLEMS
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11. Calculate the following.
11. a) |
3 sevenths + 2 sevenths = 5 sevenths |
|
b) |
3 7 |
+ |
2 7 |
= |
5 7 |
11. c) |
3 7 |
− |
2 7 |
= |
1 7 |
|
d) |
15 16 |
− |
5 16 |
= |
10 16 |
= |
5 8 |
11. e) |
3 5 |
+ |
1 5 |
+ |
4 5 |
= |
1 |
3 5 |
|
f) |
2 4 |
+ |
1 4 |
+ |
3 4 |
= 1½ |
|
g) |
10 15 |
+ |
8 15 |
|
4 15 |
= |
14 15 |
12. Choose the LCM of denominators to calculate the following.
12. a) |
2 3 |
+ |
1 6 |
= |
5 6 |
|
b) |
5 12 |
+ |
1 4 |
= |
2 3 |
|
c) |
1 2 |
+ |
5 32 |
= |
21 32 |
12. d) |
3 5 |
|
2 15 |
= |
7 15 |
|
e) |
3 8 |
|
7 32 |
= |
5 32 |
|
f) |
15 16 |
|
3 4 |
= |
3 16 |
13. Choose the LCM of denominators to calculate the following.
13. a) |
5 6 |
+ |
5 9 |
= 1 |
7 18 |
|
b) |
3 4 |
+ |
5 6 |
= 1 |
7 12 |
|
c) |
5 6 |
+ |
3 8 |
= 1 |
5 24 |
13. d) |
11 15 |
|
7 10 |
= |
1 30 |
|
e) |
7 8 |
|
5 12 |
= |
11 24 |
|
f) |
8 9 |
|
5 12 |
= |
17 36 |
14. Calculate the following.
14. a) |
1 2 |
+ |
1 3 |
= |
5 6 |
|
b) |
3 8 |
+ |
2 5 |
= |
31 40 |
|
c) |
7 9 |
+ |
7 10 |
= = 1 |
43 90 |
14. d) |
2 7 |
|
1 5 |
= |
3 35 |
|
e) |
3 4 |
|
2 3 |
= |
1 12 |
|
f) |
7 8 |
|
5 9 |
= |
23 72 |
15. Add.
15. a) |
1 2 |
+ |
1 3 |
+ |
1 4 |
= 1 |
1 12 |
|
b) |
1 2 |
+ |
3 4 |
+ |
4 5 |
= 2 |
1 20 |
|
c) |
1 2 |
+ |
5 6 |
|
3 4 |
= |
7 12 |
16. Mental calculation.
16. a) |
1 2 |
+ |
1 4 |
= |
3 4 |
|
b) |
1 2 |
+ |
1 8 |
= |
5 8 |
|
c) |
1 2 |
+ |
2 10 |
= |
7 10 |
16. d) |
1 2 |
+ |
3 4 |
= 1¼ |
|
e) |
1 2 |
+ |
1 16 |
= |
9 16 |
|
f) |
1 2 |
+ |
5 12 |
= |
11 12 |
17. Mental calculation.
17. a) |
1 2 |
+ |
1 4 |
+ |
1 8 |
= |
7 8 |
|
b) |
1 2 |
+ |
3 8 |
+ |
5 16 |
= 1
| 3 16 |
|
c) |
1 4 |
+ |
5 8 |
+ |
3 16 |
= 1
| 1 16 |
18. What number must you add to each of the following to make 1?
19. Three candidates were running for office. One of them got half the
10. vote. Another got two fifths of the vote. What fraction did the
third candidate get? |
1 10 |
. |
10. Add these mixed numbers.
18. a) 3 |
1 5 |
+ 4 |
2 5 |
= 7
| 3 5 |
|
10.
b) 8 |
2 9 |
+ 7 |
3 9 |
= 15
| 5 9 |
|
10.
c) 3 |
2 4 |
+ 4 |
3 4 |
= 8
| 1 4 |
18. d) 6 |
5 8 |
+ 2 |
7 8 |
= 9½ |
|
e) 4 |
5 6 |
+ 3 |
5 6 |
= 8
| 2 3 |
|
f) 1 |
2 3 |
+ 8 |
1 3 |
= |
10 |
11. Add.
19. a) 3 |
1 4 |
+ 2 |
5 8 |
= 5
| 7 8 |
|
b) 2 |
5 6 |
+ 7 |
5 18 |
= 10
| 1 9 |
|
c) 7 |
3 4 |
+ 1 |
5 16 |
= 9
| 1 16 |
11. d) 6 |
4 5 |
+ 9 |
1 2 |
= 16
| 3 10 |
|
e) 4 |
3 4 |
+ 1 |
5 6 |
= 6
| 7 12 |
|
f) 3 |
2 9 |
+ 2 |
5 6 |
= 6
| 1 18 |
12. Subtract.
10. a) 5 |
3 4 |
2 |
1 4 |
= |
3½ |
|
b) 4 |
4 5 |
1 |
1 5 |
= 3
| 3 5 |
|
c) 3 |
5 8 |
3 |
3 8 |
= |
1 4 |
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