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Question
`11/16` ______ `14/15`
Solution
`11/16` < `14/15`
Explanation:
In order to compare fractions with different denominators, we will convert them to like fractions.
LCM of 16 and 15
2 |
16, 15 |
2 |
8, 15 |
2 |
4, 15 |
2 |
2, 15 |
3 |
1, 15 |
5 |
1, 5 |
1, 1 |
∴ LCM of 16 and 15 = `2 xx 2 xx 2 xx 2 xx 3 xx 5` = 240
Now, converting each of the given fractions to an equivalent fractions with denominators 240.
`(11 xx 15)/(16 xx 15) = 165/240` and `(14 xx 16)/(15 xx 16) = 224/240`
Clearly, `244/240 > 165/240`
∴ `11/16 < 14/15`
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