Question

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

`12/75` ______ `32/200`

विकल्प

• >

• <

• =

Answer 1

`12/75 underlinebb(=) 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 × 2 × 2 × 3 × 5 × 5 = 600

Now, converting each of the given fractions to equivalent fractions with denominator 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`