Divide 45/(10a-10)

$\frac{45}{10 a - 10}$

Step 1

Cancel the common factor of $45$ and $10 a - 10$ .

Factor $5$ out of $45$ .

$\frac{5 (9)}{10 a - 10}$

Cancel the common factors.

Factor $5$ out of $10 a$ .

$\frac{5 (9)}{5 (2 a) - 10}$

Factor $5$ out of $- 10$ .

$\frac{5 \cdot 9}{5 (2 a) + 5 \cdot - 2}$

Factor $5$ out of $5 (2 a) + 5 (- 2)$ .

$\frac{5 (9)}{5 (2 a - 2)}$

Cancel the common factor.

$\frac{5 \cdot 9}{5 (2 a - 2)}$

Rewrite the expression.

$\frac{9}{2 a - 2}$

Step 2

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

Factor $2$ out of $2 a$ .

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $2 (a) + 2 (- 1)$ .

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