Question

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

`11/16` ______ `14/15`

Options

• >

• <

• =

Answer 1

`11/16 underlinebb(<) 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 × 2 × 2 × 2 × 3 × 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, `224/240 > 165/240`

∴ `11/16 < 14/15`