Simplify ((x^2)/(x-1))/((3x^2)/(x+4))

$\frac{\frac{x^{2}}{x - 1}}{\frac{3 x^{2}}{x + 4}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{x^{2}}{x - 1} \cdot \frac{x + 4}{3 x^{2}}$

Cancel the common factor of $x^{2}$ .

Factor $x^{2}$ out of $3 x^{2}$ .

$\frac{x^{2}}{x - 1} \cdot \frac{x + 4}{x^{2} \cdot 3}$

Cancel the common factor.

$\frac{x^{2}}{x - 1} \cdot \frac{x + 4}{x^{2} \cdot 3}$

Rewrite the expression.

$\frac{1}{x - 1} \cdot \frac{x + 4}{3}$

Multiply $\frac{1}{x - 1}$ by $\frac{x + 4}{3}$ .

$\frac{x + 4}{(x - 1) \cdot 3}$

Move $3$ to the left of $x - 1$ .

$\frac{x + 4}{3 (x - 1)}$