Question

What is the simplified form of ((2/x)+(3/y))/((2/x)-(3/y))

Answer 1

That IS the simplified form....

Answer 2

\[\frac{(\frac{2}{x} + \frac{3}{y})}{(\frac{2}{x} - \frac{3}{y})}\]

Answer 3

Oh, I read it wrong.....

Answer 4

\[\frac{(\frac{2}{x} + \frac{3}{y})}{1} \times \frac{1}{(\frac{2}{x} - \frac{3}{y})}\]

Just work from the inside out

Answer 5

multiply top and bottom by \(xy\) cancelling merrily as you got
you will be done in one step

Answer 6

\[\frac{(\frac{2}{x} + \frac{3}{y})}{(\frac{2}{x} - \frac{3}{y})}\times \frac{xy}{xy}\]

Answer 7

Or the very long way: