What is this complex fraction simplified?
3/(2/x + y)
Please show the steps as well.
Thanks! :)

Question

What is this complex fraction simplified? 
3/(2/x + y) 
Please show the steps as well. 
Thanks! :)

amonoconnor · Answer

You bet! Hold on second...

amonoconnor · Answer

Is the 2 attached to the x?  Is it 3/((2/x) + y)   Or   3/(2/(x + y))

amonoconnor · Answer

I see where I went wrong... I'm working on it :)

anonymous · Answer

Thanks a bunch! :)

amonoconnor · Answer

Hey! Sorry if I took too long- I got sidetracked with something else, but. I totally have what you're asking for! Here you go:
3/((2/x) + y) = 3/((2/x) + (xy/x))
                   = 3/((2 + xy)/x)
                   = 3(x/(2 + xy))
                   = 3x/(2 + xy)
There you go! :)

amonoconnor · Answer

@Unknown11

amonoconnor · Answer

Does that help? Does that make sense? :)

anonymous · Answer

Thanks a lot for your help! Makes a lot more sense now @amonoconnor. :)