Here's the question you clicked on:
millitarygirl96
What is the simplified form of ((2/x)+(3/y))/((2/x)-(3/y))
That IS the simplified form....
\[\frac{(\frac{2}{x} + \frac{3}{y})}{(\frac{2}{x} - \frac{3}{y})}\]
Oh, I read it wrong.....
\[\frac{(\frac{2}{x} + \frac{3}{y})}{1} \times \frac{1}{(\frac{2}{x} - \frac{3}{y})}\] Just work from the inside out
multiply top and bottom by \(xy\) cancelling merrily as you got you will be done in one step
\[\frac{(\frac{2}{x} + \frac{3}{y})}{(\frac{2}{x} - \frac{3}{y})}\times \frac{xy}{xy}\]
Or the very long way: |dw:1342362435977:dw|
(2y+3x)/(2y-3x) if u wanna more then rstionalized