You can put this solution on YOUR website! The best first step is to multiply top and bottom by the lowest common denominator present in all the pieces of the complex fraction...here that would be 4w...so from
(w + 3/4w) / (w - 3/2w)
we multiply by 4w / 4w and get
(4w^2 + 3) / (4w^2 - 6)
That's as far as this one goes