## anonymous 4 years ago What is the simplified form of ((2/x)+(3/y))/((2/x)-(3/y))

1. anonymous

That IS the simplified form....

2. anonymous

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

3. anonymous

4. anonymous

$\frac{(\frac{2}{x} + \frac{3}{y})}{1} \times \frac{1}{(\frac{2}{x} - \frac{3}{y})}$ Just work from the inside out

5. anonymous

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

6. anonymous

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

7. anonymous

Or the very long way: |dw:1342362435977:dw|

8. anonymous

yes, a very long way

9. anonymous

(2y+3x)/(2y-3x) if u wanna more then rstionalized