# Math Help - Simplify this complex fraction?

1. ## Simplify this complex fraction?

2. ok so....

$\frac{m - \frac{1}{2m+1}}{1-\frac{m}{2m+1}}$

$=\frac{\frac{m(2m+1) - 1}{2m+1}}{\frac{2m+1- m}{2m+1}}$

$=\frac{\frac{2m^2+m - 1}{2m+1}}{\frac{m+1}{2m+1}}$

$=\frac{2m^2+m - 1}{2m+1}\times\frac{2m+1}{m+1}$

$=\frac{2m^2+m - 1}{m+1}$

Now factor the top, see what cancelations you get, and your done.

3. Thank you so much!!!