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Question
Evaluate: `(3 5/12 + 1 2/3) div (3 5/12 - 1 2/3)`
Solution
`(3 5/12 + 1 2/3) div (3 5/12 - 1 2/3)`
`= ((12 xx 3 + 5)/12 + (3 xx 1 + 2)/3) div ((12 xx 3 + 5)/12 - (3 xx 1 + 2)/3)`
`= (41/12 + 5/3) div (41/12 - 5/3)`
(∵ L.C.M. of 12, 3 = 12)
`= ((41 + 20)/12) div ((41 - 20)/12)`
`= 61/12 div 21/12 => 61/12 xx 12/21`
`= 61/21 = 2 19/21`
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