Verified answer

If you mean:

(3/2+2/x)÷(9/2-5/x)

multiply by x/x

3/2x + 2 / 9/2x - 5

multiply by 2/2

3x + 4 / 9x -10

I am going to play a hunch and say that the question has been PRESENTED INCORRECTLY and SHOULD read as :-

( 3/2 + 2/x ) ÷ (9/2 - 5/x )

3/2 + 2/x

---------------

9/2 - 5/x

3x + 4

--------------

9x - 10

If I'm reading the problem right, the answer is 2/15.