Question

Find (m + n) ÷ (m - n), if: m = `2/3` and n = `3/2`

Answer 1

Using formula (m + n) ÷ (m − n)

`= (2/3 + 3/2) ÷ (2/3 - 3/2)`

`= ((2xx2)/(3xx2) + (3xx3)/(2xx3)) ÷ ((2xx2)/(3xx2) - (3xx3)/(2xx3))`

(LCM of 3 and 2 = 6)

`= ((4 +9)/6) ÷ ((4-9)/6)`

`= 13/6 ÷ ((-5)/6)`

`= 13/6 xx 6/(-5) = - 13/5`