Cancel the Common Factors (x-7)/(x^2-7x)

$\frac{x - 7}{x^{2} - 7 x}$

Step 1

Factor $x$ out of $x^{2} - 7 x$ .

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

$\frac{x - 7}{x \cdot x - 7 x}$

Factor $x$ out of $- 7 x$ .

$\frac{x - 7}{x \cdot x + x \cdot - 7}$

Factor $x$ out of $x \cdot x + x \cdot - 7$ .

$\frac{x - 7}{x (x - 7)}$

Step 2

Reduce the expression $\frac{x - 7}{x (x - 7)}$ by cancelling the common factors.

Cancel the common factor.

$\frac{x - 7}{x (x - 7)}$

Rewrite the expression.

$\frac{1}{x}$