## anonymous 5 years ago Simplify this complex fraction...?

1. anonymous

$1 + x/y \over 1 - x ^{2}/y ^{2}$

2. anonymous

So, you have a term in the lower fraction: y^2. Multiply that whole complex fraction by y^2/y^2 and you end up multiplying y^2 by every single individual term. After that, cancel like terms and simplify.

3. anonymous

O.o I'm confused lol but since you're busy with somebody else I'll try it out :P

4. anonymous

let 1= y^2/y^2. then u will have: 1−x^2/y^2 = (y^2-x^2)/y^2 do the same thing with the top part. then u multiply y^2 to both nominator and denominator.

5. anonymous

but let 1=y/y for the top part.

1+x/y/(1-x^2/y^2) becomes $(1+x/y)/(1+x/y)(1-x/y)$ Simplifying further 1/(1-x/y) completing the denominator by combining 1-x/y becomes (y-x)/y The final results will then become y/(y-x)

7. anonymous

Thanks I get it now!