# Math Help - subtracting a fraction containing a variable by another fraction without variables.

1. ## subtracting a fraction containing a variable by another fraction without variables.

I know this is easy, but i was wondering what the method is for doing this..

thank you!

2. $= \ \frac{6(x+5)-8(x+3)}{6(x+3)} \times \frac{1}{(x-3)}$
$=\\ \frac{6x+30-8x-24}{6(x+3)(x-3)}$
$=\\ \frac{-2x+6}{6(x+3)(x-3)}$
$= \\ \frac{-2(x-3)}{6(x+3)(x-3)}$
$=\\ \frac{-1}{3(x+3)}$

3. Thank you, but i meant from the middle part of the eq. where it has ((x+5)/(x+3))-(8/6).
Im not sure what method they used to subtract the 2. ~Evan