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Question
`8/18 - 8/15 = 8/3`
Options
True
False
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Solution
This statement is False.
Explanation:
We have, `8/18 - 8/15`
LCM of 18 and 15
| 2 | 18, 15 |
| 3 | 9, 15 |
| 3 | 3, 5 |
| 5 | 1, 5 |
| 1, 1 |
∴ LCM of 18 and 15 = `2 xx 3 xx 3 xx 5` = 90
Now, converting the given fractions to equivalent fraction with denominator 90.
`(8 xx 5)/(18 xx 5) = 40/90` and `(8 xx 6)/(15 xx 6) = 48/90`
∴ `40/90 - 48/90 = (40 - 48)/90 = (-8)/90`
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