Question

Which expression is equivalent to the following complex fraction?

A. $\frac{x-3}{x}$
B. $\frac{x+3}{1}$
C. $\frac{x+3}{x}$
D. $\frac{x}{x+3}$

Answer 1

$\dfrac{\frac{x}{x-3}}{\frac{x^2}{x^2-9}}=\dfrac{x(x^2-9)}{(x-3)x^2}=\dfrac{x(x+3)(x-3)}{(x-3)x\cdot x}=\dfrac{x+3}{x}$

Answer C.