Simplify (5x-5)/(3x)*9/(6x-6)

$\frac{5 x - 5}{3 x} \cdot \frac{9}{6 x - 6}$

Factor $5$ out of $5 x - 5$ .

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 5}{3 x} \cdot \frac{9}{6 x - 6}$

Factor $5$ out of $- 5$ .

$\frac{5 (x) + 5 (- 1)}{3 x} \cdot \frac{9}{6 x - 6}$

Factor $5$ out of $5 (x) + 5 (- 1)$ .

$\frac{5 (x - 1)}{3 x} \cdot \frac{9}{6 x - 6}$

Factor $6$ out of $6 x - 6$ .

Factor $6$ out of $6 x$ .

$\frac{5 (x - 1)}{3 x} \cdot \frac{9}{6 (x) - 6}$

Factor $6$ out of $- 6$ .

$\frac{5 (x - 1)}{3 x} \cdot \frac{9}{6 (x) + 6 (- 1)}$

Factor $6$ out of $6 (x) + 6 (- 1)$ .

$\frac{5 (x - 1)}{3 x} \cdot \frac{9}{6 (x - 1)}$

Cancel the common factor of $x - 1$ .

Factor $x - 1$ out of $5 (x - 1)$ .

$\frac{(x - 1) \cdot 5}{3 x} \cdot \frac{9}{6 (x - 1)}$

Factor $x - 1$ out of $6 (x - 1)$ .

$\frac{(x - 1) \cdot 5}{3 x} \cdot \frac{9}{(x - 1) \cdot 6}$

Cancel the common factor.

$\frac{(x - 1) \cdot 5}{3 x} \cdot \frac{9}{(x - 1) \cdot 6}$

Rewrite the expression.

$\frac{5}{3 x} \cdot \frac{9}{6}$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{5}{3 (x)} \cdot \frac{9}{6}$

Factor $3$ out of $9$ .

$\frac{5}{3 (x)} \cdot \frac{3 (3)}{6}$

Cancel the common factor.

$\frac{5}{3 x} \cdot \frac{3 \cdot 3}{6}$

Rewrite the expression.

$\frac{5}{x} \cdot \frac{3}{6}$

Multiply $\frac{5}{x}$ by $\frac{3}{6}$ .

$\frac{5 \cdot 3}{x \cdot 6}$

Multiply $5$ by $3$ .

$\frac{15}{x \cdot 6}$

Cancel the common factor of $15$ and $6$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{x \cdot 6}$

Cancel the common factors.

Factor $3$ out of $x \cdot 6$ .

$\frac{3 (5)}{3 (x \cdot 2)}$

Cancel the common factor.

$\frac{3 \cdot 5}{3 (x \cdot 2)}$

Rewrite the expression.

$\frac{5}{x \cdot 2}$

Move $2$ to the left of $x$ .

$\frac{5}{2 x}$

Simplify (5x-5)/(3x)*9/(6x-6)

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