Question

I can figure out how to break this down..

Answer 1

$\frac{ (\frac{2}{x} -1)}{ (\frac{1}{x} -1)}= \frac{( \frac{2-x}{x})}{( \frac{1-x}{x})} = \frac{2-x}{1-x}$.  Now the answers on your paper do not have this choice, but if you think about it, (2-x)=-1(x-2) and (1-x)=-1(x-1).  This means that when you have (2-x)/(1-x), this also equals to (x-2)/(x-1), since the -1's cancel out.  So, the answer is D.

I hope this was helpful!