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Question
`12/75` ______ `32/200`
Solution
`12/75` = `32/200`
Explanation:
In order to compare fractions with different denominators, we will convert them to like fractions.
LCM of 75 and 200
2 |
75, 200 |
2 |
75, 100 |
2 |
75, 50 |
3 |
75, 25 |
5 |
25, 25 |
5 |
5, 5 |
1, 1 |
∴ LCM of 75 and 200 = `2 xx 2 xx 2 xx 3 xx 5 xx 5` = 600
Now, converting each of the given fractions to equivalent fractions with denominators 600.
`(12 xx 8)/(75 xx 8) = 96/600` and `(32 xx 3)/(200 xx 3) = 96/600`
Clearly, `96/600 = 96/600`
∴ `12/75 = 32/200`
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