COMPARE FRACTIONS
PROBLEMS
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1. Same numerator; same denominator. Arrange these numbers
1. from smallest to largest.
1. a) |
1 4 |
|
1 2 |
|
1 3 |
|
1 6 |
|
1 5 |
|
1 6 |
|
1 5 |
|
1 4 |
|
1 3 |
|
1 2 |
1. b) |
2 9 |
|
2 7 |
|
2 10 |
|
2 3 |
|
2 5 |
|
2 10 |
|
2 9 |
|
2 7 |
|
2 5 |
|
2 3 |
1. c) |
8 12 |
|
4 12 |
|
2 12 |
|
11 12 |
|
1 12 |
|
1 12 |
|
2 12 |
|
4 12 |
|
8 12 |
|
11 12 |
1. d) |
4 5 |
|
3 7 |
|
3 5 |
|
3 7 |
|
3 5 |
|
4 5 |
|
e) |
4 8 |
|
5 8 |
|
4 9 |
|
4 9 |
|
4 8 |
|
5 8 |
|
2. a) |
If you multiply the numerator of a fraction, and do not change the denominator, what will happen to the size of the fraction? |
|
|
It will become larger. |
|
|
b) |
If you multiply the denominator, and do not change the numerator, what will happen to the size of the fraction? |
|
|
It will become smaller. |
|
c) |
If you multiply both the numerator and denominator by the same number, what will happen to the size of the fraction? |
|
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It will not change. It will have the same value. The change in the denominator (taking more equal parts of 1) will balance the change in the numerator (taking a greater number of those parts). The two fractions will be equivalent. |
|
3. For each pair of fractions, write
1. 1) the lowest common multiple (LCM) of the denominators,
1. 2) a pair of equivalent fractions with a common denominator,
1. 3) the larger fraction.
| |
|
LCM
| Equivalent pair
| Larger
|
2. a) |
1 2 |
7 16 |
16 |
|
8 16 |
7 16 |
|
|
1 2 |
|
|
2. b) |
9 32 |
1 4 |
32 |
|
9 32 |
8 32 |
|
|
9 32 |
|
|
2. c) |
1 3 |
5 12 |
12 |
|
4 12 |
5 12 |
|
|
5 12 |
|
2. d) |
4 15 |
2 5 |
15 |
|
4 15 |
6 15 |
|
|
2 5 |
|
|
2. e) |
5 6 |
7 9 |
18 |
|
15 18 |
14 18 |
|
|
5 6 |
|
|
2. f) |
3 8 |
5 12 |
24 |
|
9 24 |
10 24 |
|
|
5 12 |
|
|
2. g) |
7 10 |
11 15 |
30 |
|
21 30 |
22 30 |
|
|
11 15 |
|
|
2. h) |
2 3 |
3 4 |
12 |
|
8 12 |
9 12 |
|
|
3 4 |
|
|
2. i) |
4 9 |
5 11 |
99 |
|
44 99 |
45 99 |
|
|
5 11 |
|
Continue on to the Section 2.
or
Return to Section 1.
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