Add and express your answer in simplest form?

Question

(x^2)/(x+10) / (9x-10)/(x+10)

Answer 1

when you divide a fraction by a fraction, it is really multiplying by the reciprocal, or in this case

(x^2)/(x+10) * (x+10)/(9x-10)

cancel out the (x+10)'s and the answer is

(x^2)/(9x-10)

Answer 2

x^2/x+10/ 9x-10/x+10

x^2/x+10 * x+10/9x-10

x^2/ 9x-10