Simplify a-a/b

$a - \frac{a}{b}$

To write $a$ as a fraction with a common denominator, multiply by $\frac{b}{b}$ .

$\frac{a b}{b} - \frac{a}{b}$

Combine the numerators over the common denominator.

$\frac{a b - a}{b}$

Factor $a$ out of $a b - a$ .

Factor $a$ out of $a b$ .

$\frac{a (b) - a}{b}$

Factor $a$ out of $- a$ .

$\frac{a (b) + a \cdot - 1}{b}$

Factor $a$ out of $a (b) + a \cdot - 1$ .

$\frac{a (b - 1)}{b}$