Question

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

`18/15` ______ `1.3`

Options

• >

• <

• =

Answer 1

`18/15 underlinebb(<) 1.3`

Explanation:

For comparing a fraction and a decimal, we will convert both of them to either into like fractions or into like decimals.

Now, `1.3 = 13/10`

LCM of 10 and 15

2	10, 15
3	5, 15
5	5, 5
	1, 1

∴ LCM of 10 and 15 = 2 × 3 × 5 = 30

Now, converting each of the given fractions to equivalent fractions with denominator 30.

`(18 xx 2)/(15 xx 2) = 36/30` and `(13 xx 3)/(10 xx 3) = 39/30`

Clearly, `36/30 < 39/30`  ...[∵ 36 < 39]

∴ `18/15 < 13`