Question

Simplify the complex rational expression:

1+ 1/x / 3- 1/x

Answer 1

$\bf \cfrac{~~1+\frac{1}{x}~~}{3-\frac{1}{x}}\implies \cfrac{~~\frac{x+1}{x}~~}{\frac{3x-1}{x}}\implies \cfrac{x+1}{\underline{x}}\cdot \cfrac{\underline{x}}{3x-1}\implies \cfrac{x+1}{3x-1}$