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Question
Evaluate: `(18/33 xx (-22)/27) - ((13)/25 xx (-75)/26)`
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Solution
`(18/33 xx (-22)/27) - ((13)/25 xx (-75)/26)`
`=> (18 xx (-22))/(33 xx 27) - (13 xx (-75))/(25 xx 26)`
`=> (2 xx (-2))/(3 xx 3) - (1 xx -3)/(1 xx 2)`
`=>(-4)/9 - ((-3)/2)`
`=>(-4)/9 + 3/2`
| 2 | 9, 2 |
| 3 | 9, 1 |
| 3 | 3, 1 |
| 1, 1 |
L.C.M. of 9 and 2 = 2 × 3 × 3 = 18
`=> (-4 xx 2)/(9 xx 2) + (3 xx 9)/(2 xx 9)`
(∵ L.C.M. of 9 and 2 = 18)
= `(-8 + 27)/18`
= `(19)/18`
= `1 1/18`
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