Question

Fill in the blank using ‘>’, ‘<’ or ‘=’ :

`8/15` ______ `95/14`

पर्याय

• >

• <

• =

Answer 1

`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`