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Question
`18/15` ______ `1.3`
Solution
`18/15` < `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 xx 3 xx 5` = 30
Now, converting each of the given fractions to equivalent fractions with denominators 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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