Thread: this seems simple

hey can anyone help me with this problem

x/(1/x +1/y)

yeah simplify..
i think it's x^2y/ (x+y)

How can we help you with this one? Simplify the fraction?

Really?
Umm, let us see.

x / (1/x +1/y)
= x / [ (y*1 +x*1) / (xy)]
= x / [(x+y) / (xy)]
= x *[(xy) / (x+y)]
= [x(xy)] / (x+y)
= (x^2)y / (x+y) --------***

Hey, it is!
Man, you're good.