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Question
`8/15` ______ `95/14`
Solution
`8/15` < `95/14`
Explanation:
In order to compare fraction with different denominators we will convert them to like fractions.
LCM of 15 and 14
2 |
15, 14 |
3 |
15, 7 |
5 |
5, 7 |
7 |
1, 7 |
|
|
1, 1 |
∴ LCM of 15 and 14 = `2 xx 3 xx 5 xx 7` = 210
Now, convering each of the given fraction to an equivalent fraction with denominator 210.
`(8 xx 14)/(15 xx 14) = 112/210` and `(95 xx 15)/(14 xx 15) = 1425/210`
Clearly, `1425/210 > 112/210`
∴ `8/15 < 95/14`
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