EQUIVALENT FRACTIONS
PROBLEMS
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Do the problem yourself first!
1. How can we know when two fractions are equivalent?
Their numerators and denominators are in the same ratio.
2. Write the missing term.
2. a) |
5 15 |
= |
7 21 |
2. b) |
4 16 |
= |
3 12 |
2. c) |
3 21 |
= |
4 28 |
2. d) |
8 40 |
= |
3 15 |
|
2. e) |
6 54 |
= |
4 36 |
2. f) |
1 2 |
= |
6 12 |
2. g) |
1 2 |
= |
4 8 |
2. h) |
1 2 |
= |
5 10 |
|
2. i) |
1 3 |
= |
4 12 |
2. j) |
1 4 |
= |
3 12 |
2. k) |
1 5 |
= |
6 30 |
2. l) |
2 16 |
= |
3 24 |
|
2. m) |
7 35 |
= |
4 20 |
2. n) |
8 16 |
= |
5 10 |
2. o) |
3 30 |
= |
7 70 |
2. p) |
5 45 |
= |
2 18 |
3. Same multiple. Write three fractions which are equivalent to |
5 8 |
. |
For example: |
10 16 |
|
15 24 |
|
20 32 |
Take the same multiple of 5 and 8.
4. Write the missing term.
4. a) |
2 3 |
= |
8 12 |
4. b) |
4 5 |
= |
12 15 |
4. c) |
3 4 |
= |
15 20 |
4. d) |
2 9 |
= |
12 54 |
|
4. e) |
7 8 |
= |
35 40 |
4. f) |
5 6 |
= |
35 42 |
4. g) |
2 7 |
= |
8 28 |
4. h) |
5 16 |
= |
15 48 |
|
4. i) |
3 4 |
= |
24 32 |
4. j) |
2 3 |
= |
20 30 |
4. k) |
3 5 |
= |
27 45 |
4. l) |
3 5 |
= |
12 20 |
|
4. m) |
7 9 |
= |
42 54 |
4. n) |
2 3 |
= |
14 21 |
4. o) |
8 9 |
= |
56 63 |
4. p) |
6 7 |
= |
48 56 |
5. Write the missing numerator. Each fraction therefore is equal to
5. what decimal?
5. a) |
1 2 |
= |
5 10 |
= |
.5 |
5. b) |
1 4 |
= |
25 100 |
= |
.25
| 5. c) |
9 500 |
= |
18 1000 |
= |
.018
|
|
5. d) |
1 5 |
= |
2 10 |
= |
.2
| 5. e) |
2 5 |
= |
4 10 |
= |
.4
| 5. f) |
3 5 |
= |
6 10 |
= |
.6
|
|
5. g) |
14 50 |
= |
28 100 |
= |
.28
| 5. h) |
11 50 |
= |
22 100 |
= |
.22
| 5. i) |
9 25 |
= |
36 100 |
= |
.36
|
5. j) |
3 500 |
= |
6 1000 |
= |
.006
| 5. k) |
7 200 |
= |
35 1000 |
= |
.035
|
6. Reduce each fraction to lowest terms.
16. a) |
8 12 |
= |
2 3 |
|
16. b) |
3 6 |
= |
1 2 |
|
16. c) |
5 15 |
= |
1 3 |
|
16. d) |
16 24 |
= |
2 3 |
16. e) |
21 63 |
= |
1 3 |
|
16. f) |
20 35 |
= |
4 7 |
|
16. g) |
12 54 |
= |
2 9 |
|
16. h) |
6 48 |
= |
1 8 |
16. i) |
63 81 |
= |
7 9 |
|
16. j) |
15 60 |
= |
1 4 |
|
16. k) |
16 36 |
= |
4 9 |
|
16. l) |
24 72 |
= |
1 3 |
|
16. m) |
30 40 |
= |
3 4 |
|
16. n) |
600 900 |
= |
2 3 |
|
16. o) |
50 400 |
= |
1 8 |
|
16. p) |
1800 12,000 |
= |
3 20 |
16. q) |
3 3 |
= 1 |
|
16. r) |
18 18 |
= 1 |
|
16. s) |
527 527 |
= 1 |
|
16. t) |
12,308 12,308 |
= 1 |
7. Write as a mixed number.
17. a) |
12 8 |
= 1½ |
|
17. b) |
34 6 |
= 5 |
2 3 |
|
17. c) |
36 16 |
= 2¼ |
|
17. d) |
28 20 |
= 1 |
2 5 |
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