Question

Simplify the following complex fraction...

Answer 1

\[\frac{ \frac{ 1 }{ x }+ \frac{ 1 }{ y } }{ \frac{ (x-y)^2 }{ 4xy } }\]

Answer 2

What's the least common denominator for all the fractions?

Answer 3

xy?

Answer 4

Close, it's 4xy

Answer 5

so you want to multiply by 4xy/4xy to clear out the denominators. Do you know how?

Answer 6

You get \[\frac{ 4y+4x }{ (x-y)^2 }\]

Answer 7

@peachpi

Answer 8

yes. and if you factor the numerator and denominator it can be reduced more

Answer 9

nope never mind. that's as far as that can be reduced.

Answer 10

okay, thanks!

Answer 11

you're welcome