Simplifying Complex Fractions

[(x+3)/12] / [(4x-5)/15]

[(x+3)/12] x [15/(4x-5)]

(x+3)5/4(3x-5)

(5x+15/12x-20)<-- final answer

Did I do this right. If not could you please explain how to do it correctly

2 answers

*** final answer
3+5/4(3x-5)

3+5/12x-20
There are typos which make your answer wrong. Starting at

(x+3)5/4(3x-5)

you should have had

(x+3)5 / 4(4x-5)
(5x+15)/(16x-20)