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प्रश्न
Evaluate:
`((-13)/7 xx (- 35)/39) - ((-7)/45 xx (9)/14)`
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उत्तर
`((-13)/7 xx (- 35)/39) - ((-7)/45 xx (9)/14)`
`=> (-13 xx (-35))/(7 xx 39) - (- 7 xx 9)/(45 xx 14)`
`=> (cancel(-13)^(-1) xx cancel(-35)^-5)/(cancel(7)_1 xx cancel(39)_3) - (- cancel(7)^1 xx cancel(9)^1)/(cancel(45)_5 xx cancel(14)_2)`
`=> (-1 xx (-5))/(1 xx 3) + (1 xx 1)/(5 xx 2)`
`=> (5)/3 + 1/10`
∵ L.C.M. of 3 and 10 = 30
`=> (5 xx 10)/(3 xx 10) + (1 xx 3)/(10 xx 3)`
`=> (50 + 3)/30 = (53)/30 = 1 23/30`
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