Question

How do you simplify `\frac { 7- \frac { 1} { r } } { 7+ \frac { 1} { t } }`?

Answer 1

`(t(7r-1))/(r(7t+1))`

Explanation:

Simplify the numerator and denominator by finding a common denominator

`(7-1/r)/(7+1/t) = (7-1/r)div(7+1/t)`

`=(7r-1)/r div(7t+1)/t`

`=(7r-1)/r xx t/(7t+1)" "larr` multiply by the reciprocal

`=(t(7r-1))/(r(7t+1))" "larr` multiply straight across