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Question
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`18/15` ______ `1.3`
Options
>
<
=
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Solution
`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`
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