Simplify (2a-20)/(6a)*(a-9)/(a-10)

$\frac{2 a - 20}{6 a} \cdot \frac{a - 9}{a - 10}$

Factor $2$ out of $2 a - 20$ .

Factor $2$ out of $2 a$ .

$\frac{2 (a) - 20}{6 a} \cdot \frac{a - 9}{a - 10}$

Factor $2$ out of $- 20$ .

$\frac{2 a + 2 \cdot - 10}{6 a} \cdot \frac{a - 9}{a - 10}$

Factor $2$ out of $2 a + 2 \cdot - 10$ .

$\frac{2 (a - 10)}{6 a} \cdot \frac{a - 9}{a - 10}$

Cancel the common factor of $a - 10$ .

Factor $a - 10$ out of $2 (a - 10)$ .

$\frac{(a - 10) \cdot 2}{6 a} \cdot \frac{a - 9}{a - 10}$

Cancel the common factor.

$\frac{(a - 10) \cdot 2}{6 a} \cdot \frac{a - 9}{a - 10}$

Rewrite the expression.

$\frac{2}{6 a} \cdot (a - 9)$

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{6 a} \cdot (a - 9)$

Cancel the common factors.

Factor $2$ out of $6 a$ .

$\frac{2 (1)}{2 (3 a)} \cdot (a - 9)$

Cancel the common factor.

$\frac{2 \cdot 1}{2 (3 a)} \cdot (a - 9)$

Rewrite the expression.

$\frac{1}{3 a} \cdot (a - 9)$

Multiply $\frac{1}{3 a}$ by $a - 9$ .

$\frac{a - 9}{3 a}$