Simplifing Complex Fractions

[Deo3560]

RESOLVED!

Hey, I could use help on a problem, since, yet again I am stuck.

The Problem is "Simplifing Complex Fractions":

((2/s)-(3/t))/((4t^2-9s^2)/(st))

The Answer is:

1/(2t-3s)

What I really need is to figure out how to get that answer, so if you could take the time to help me out that'd be great!

Thank,
Deo3560

 

[BigGlenntheHeavy]

\(\displaystyle \frac{2/s-3/t}{(4t^2-9s^2)/st} \ = \ \frac{2t-3s}{st} \ * \ \frac{st}{(2t-3s)(2t+3s)} \ = \ \frac{1}{2t+3s}\)