Simplify (3x-12)/(3x^2-12x)

$\frac{3 x - 12}{3 x^{2} - 12 x}$

Step 1

Factor $3$ out of $3 x - 12$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 12}{3 x^{2} - 12 x}$

Factor $3$ out of $- 12$ .

$\frac{3 x + 3 \cdot - 4}{3 x^{2} - 12 x}$

Factor $3$ out of $3 x + 3 \cdot - 4$ .

$\frac{3 (x - 4)}{3 x^{2} - 12 x}$

$\frac{3 (x - 4)}{3 x^{2} - 12 x}$

Step 2

Factor $3 x$ out of $3 x^{2} - 12 x$ .

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

$\frac{3 (x - 4)}{3 x (x) - 12 x}$

Factor $3 x$ out of $- 12 x$ .

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

Factor $3 x$ out of $3 x (x) + 3 x (- 4)$ .

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

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

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{x - 4}{x (x - 4)}$

$\frac{x - 4}{x (x - 4)}$

Step 4

Cancel the common factor of $x - 4$ .

Cancel the common factor.

$\frac{x - 4}{x (x - 4)}$

Rewrite the expression.

$\frac{1}{x}$

$\frac{1}{x}$

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