Question

Simplify the complex rational expression:

1+ 1/x / 3- 1/x

Answer 1

`\bf \cfrac{~~1+(1)/(x)~~}{3-(1)/(x)}\implies \cfrac{~~(x+1)/(x)~~}{(3x-1)/(x)}\implies \cfrac{x+1}{\underline{x}}\cdot \cfrac{\underline{x}}{3x-1}\implies \cfrac{x+1}{3x-1}`