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Question
Evaluate: `(7/8 xx 24/21) + ((-5)/9 xx 6/-25)`
Sum
Solution
`(7/8 xx 24/21) + ((-5)/9 xx 6/-25)`
`=> (7 xx 24)/(8 xx 21) + (- 5 xx 6)/(9 xx (-25))`
`=> (1 xx 3)/(1 xx 3) + (1 xx 2)/(3 xx 5)`
`=> 3/3 + 2/15`
| 3 | 3, 15 |
| 5 | 1, 5 |
| 1, 1 |
(∵ L.C.M. of 3 and 15 = 15)
`=> (3 xx 5)/(3 xx 5) + (2 xx 1)/(15 xx 1)`
`=> (15 + 2)/15 = 17/15 = 1 2/15`
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