(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex] a - \frac {a}{1-\frac{a}{1-a}} [/tex]

3. The attempt at a solution

[tex] \frac{a}{1-a} [/tex] This might be the part where I am confused. I always get confused when I need to factor out a -1 from this fraction's denominator in order to put it into the form of [tex] \frac{a}{a-1} [/tex]

So here is my attempt (3 other attempts were made, but that will take way too long to convert to latex (I'm newbie at it):

[tex] a - \frac {a}{1-\frac{a}{1-a}} = a - \frac {a}{1+\frac{a}{a-1}} [/tex] This is the part where I factored out a -1 from the [tex] \frac{a}{1-a} [/tex]

LCM of complex fraction = [tex]a-1[/tex]

[tex]= a-\frac{a^2-a}{a-1+a} [/tex]

[tex]= \frac {2a^2-a-a^2+a}{a-1+a}[/tex][tex] = \frac{a^2}{2a-1} [/tex]

The book's answer: [tex]-\frac {a^2}{1-2a} [/tex]

Arghh.. what the heck!!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: 1.5 hours wasted on this Complex Fraction; Darn these -1's for (1-b)'s

**Physics Forums | Science Articles, Homework Help, Discussion**