# Math Help - Help with reducing fraction please!

1. ## Help with reducing fraction please!

Hi! Okay, I have this fraction. The instructions specifically say "simplify for all values of a for which the expression is defined", which I'm guessing is a fancy way of asking you to reduce it:
$\frac{1-\frac{2}{a}}{\frac{4}{a^2}-1}$

I multiplied top and bottom by $a^2$ and got this:

$\frac{a^2-2a}{4 - a^2}$

I'm really stuck now. Any help is very much appreciated! Thank you!

2. $\frac{a^2-2a}{4-a^2}=\frac{a(a-2)}{(2-a)(2+a)}=-\frac{a}{a+2}$

3. ...Oh man, thanks so much! It seems really obvious now. Ugh, I had the most ridiculously complex attempts scribbled all over my paper. Thanks again!