Question

Evaluate $\frac{x}{x+1}÷\frac{x^2}{x^2-1}$

• A. $\frac{x-1}{x}$
• B. $\frac{x+1}{x}$
• C. $\frac{2x-1}{x}$
• D. None of the above

Answer 1

The correct option is A $\frac{x-1}{x}$

$\frac{x}{x+1}÷\frac{x^2}{x^2-1}$

= $\frac{x}{x+1}\times \frac{x^2-1}{x^2}$

= $\frac{x(x-1)(x+1)}{(x+1)x^2}$

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