# Simplifying this complex fraction

• April 26th 2012, 02:07 PM
hexrei
Simplifying this complex fraction
$\frac{m-\frac{1}{2m+1}}{1-\frac{m}{2m+1}}$

I've done all the problems in my homework but this one, I don't even find the process difficult but something about this one is eluding me, I can't make my answer match up with the book's no matter how I work it out. Can anyone lend a hand please? :)
• April 26th 2012, 02:19 PM
ignite
Re: Simplifying this complex fraction
Simplification gives you :
$\frac{2m^2+m-1}{m+1}=\frac{(2m-1)(m+1)}{m+1}=2m-1$
• April 26th 2012, 02:20 PM
a tutor
Re: Simplifying this complex fraction
I would start by multiplying by $\frac{2m+1}{2m+1}$
• April 26th 2012, 02:24 PM
hexrei
Re: Simplifying this complex fraction
Thanks guys! Really appreciate the help. I see where I was going wrong now.