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Question
Evaluate: `(-5)/9 + (-7)/12 + 11/18`
Solution
`(-5)/9 + (-7)/12 + 11/18`
| 2 | 9, 12, 18 |
| 2 | 9, 6, 9 |
| 3 | 9, 3, 9 |
| 3 | 3, 1, 3 |
| 1, 1, 1 |
L.C.M. of 9,12 and 18 = 2 × 2 × 3 × 3 = 36
`=> (-5 xx 4)/(9 xx 4) + (7 xx 3)/(12 xx 3) + (11 xx 2)/(18 xx 2)`
(∵ L.C.M. of 9, 12 and 18 = 36)
`=> (- 20 - 21 + 22)/36`
`= (-41 + 22)/36 = (- 19)/36`
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