Chapter A.5, Problem 31AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 31AYU

$\frac{x+1}{x-1}$

Explanation of Solution

Given:

$\frac{1+\frac{1}{x}}{1-\frac{1}{x}}$

Calculation:

$\frac{1+\frac{1}{x}}{1-\frac{1}{x}}=\frac{\frac{x+1}{x}}{\frac{x-1}{x}}=\frac{x+1}{x}.\frac{x}{x-1}=\frac{x+1}{x-1}$