Question

Evaluate: `(3 5/12 + 1 2/3) div (3 5/12 - 1 2/3)`

Answer 1

`(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`