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Question
Evaluate: `- 5 + 5/-8 + (-5)/(-12)`
Sum
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Solution
`- 5 + 5/-8 + (-5)/(-12)`
`(- 5)/1+ (-5)/8 + (5)/(12)`
`= (- 5 xx 24)/(1 xx 24) + (-5 xx 3)/(8 xx 3) + (5 xx 2)/(12 xx 2)`
(∵ L.C.M. of 1, 8 and 12 = 24)
`= (- 120)/24 + (-15)/24 + (10)/24`
` = (- 120 - 15 + 10)/24 = (- 125)/24`
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What rational number should be subtracted from `- 5/12` to get `5/24`.
