EQUIVALENT FRACTIONS
PROBLEMS
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Do the problem yourself first!
| 1. Write three fractions that are equivalent to |
5
8 |
. |
| For example: |
10
16 |
|
15
24 |
|
20
32 |
Multiply both 5 and 8 by the same number.
2. 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 |
| |
| 2. m) |
7
9 |
= |
42
54 |
2. n) |
2
3 |
= |
14
21 |
2. o) |
8
9 |
= |
56
63 |
2. p) |
6
7 |
= |
48
56 |
| 3. |
Convert both fractions to a common denominator. |
| 3. |
(What common denominator should you choose?) |
| |
Since the given denominators have no common divisors, choose the product of the denominators. |
| 3. a) |
1
2 |
= |
5
10 |
, |
|
3
5 |
= |
6
10 |
. |
| 3. b) |
2
3 |
= |
8
12 |
, |
|
3
4 |
= |
9
12 |
. |
| 3. b) |
5
7 |
= |
45
63 |
, |
|
4
9 |
= |
28
63 |
. |
4. How can we know when two fractions are equivalent?
Their numerators and denominators are in the same ratio.
5. 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 |
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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