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Question
Evaluate: `9/-16 + (-5/-12)`
Sum
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Solution
`9/-16 + (-5/-12)`
`= 9/-16 + (5/12)`
| 2 | 16, 12 |
| 2 | 8, 6 |
| 2 | 4, 3 |
| 2 | 2, 3 |
| 3 | 1, 3 |
| 1, 1 |
L.C.M. of 16 and 12 = 2 × 2 × 2 × 2 × 3 = 48
`=> (9 xx 3)/(16 xx 3) + (5 xx 4)/(12 xx 4)`
(∵ L.C.M. of 16 and 12 = 48)
`=> (- 27 + 20)/48 = -7/48`
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By what rational number should we multiply `20/-9`, so that the product may be `(-5)/9`?
