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Question
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`8/15` ______ `95/14`
Options
>
<
=
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Solution
`8/15 underlinebb(<) 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 × 3 × 5 × 7 = 210
Now, converting 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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