Complex Rational expressions ( Help)?

Question

1/x+y
-----------------------
1/x + 1/y

Answer 1

*sigh*

1/(x+y)
---------------
1/x + 1/y

= 1/(x+y)
---------------
(y+x)/xy

= 1/(x+y) X xy/(x+y)


= xy/(x+y)^2


... is this sort of where you are going?

Answer 2

Yes. But what's your question or goal?
Is this expression equal to something?
Do you want to get it in a certain form?
Are you solving for a value?
Integrating? Differentiating? Performing a Fourier Transform?
What?
If your expression is equal to zero then:
(multiply by xy)
1/x+y = 1/x +1/y
y+xy^2 = y + x

xy^2=x
y^2=1
y= +1 or -1

if y=+1 then x=+1, -1 or 0
if y=-1 then x=+1, -1 or 0