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Question
Evaluate: `(8/15 xx (-25)/16) + ((-18)/35 xx 5/6)`
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Solution
`(8/15 xx (-25)/16) + ((-18)/35 xx 5/6)`
`=> (8 xx (-25))/(15 xx 16) + (- 18 xx 5)/(35 xx 6)`
`=> (1 xx (-5))/(3 xx 2) + (-3 xx 1)/(7 xx 1)`
`=> (-5)/6 - 3/7`
| 2 | 6, 7 |
| 3 | 3, 7 |
| 7 | 1, 7 |
| 1, 1 |
L.C.M. of 6 and 7 = 2 × 3 × 7 = 42
(∵ L.C.M. of 6 and 7 = 42)
`=> (-5 xx 7)/(6 xx 7) + (3 xx 6)/(7 xx 6)`
`=> (-35 - 18)/42 = (- 53)/42`
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