Perform the indicated operation and simplify the result Leav

Perform the indicated operation and simplify the result. Leave your answer in factored form.

7 plus Fraction 1 Over x End Fraction Over 8 minus Fraction 1 Over x End Fraction

Solution

{ 7+ 1 / x } / { 8 - 1 / x }

taking common denominator on top and bottom which is x

simplifying the top part

( 7x + 1 ) / x

simplifying the bottom part

( 8x - 1) / x

therefore fraction becomes

( 7x +1 ) / x / (8x - 1) / x

on cancelling x and x we get

(7x+1) / (8x -1 )