Evaluate (330-0)/(0-110)

$\frac{330 - 0}{0 - 110}$

Step 1

Cancel the common factor of $330 - 0$ and $0 - 110$ .

Rewrite $330$ as $- 1 (- 330)$ .

$\frac{- 1 (- 330) - 0}{0 - 110}$

Factor $- 1$ out of $- 0$ .

$\frac{- 1 (- 330) - (0)}{0 - 110}$

Factor $- 1$ out of $- 1 (- 330) - (0)$ .

$\frac{- 1 (- 330 + 0)}{0 - 110}$

Factor $110$ out of $- 1 (- 330 + 0)$ .

$\frac{110 (- 1 (- 3 + 0))}{0 - 110}$

Cancel the common factors.

Factor $110$ out of $0$ .

$\frac{110 (- 1 (- 3 + 0))}{110 (0) - 110}$

Factor $110$ out of $- 110$ .

$\frac{110 (- 1 (- 3 + 0))}{110 \cdot 0 + 110 \cdot - 1}$

Factor $110$ out of $110 \cdot 0 + 110 \cdot - 1$ .

$\frac{110 (- 1 (- 3 + 0))}{110 \cdot (0 - 1)}$

Cancel the common factor.

$\frac{110 (- 1 (- 3 + 0))}{110 \cdot (0 - 1)}$

Rewrite the expression.

$\frac{- 1 (- 3 + 0)}{0 - 1}$

Step 2

Simplify the expression.

Add $- 3$ and $0$ .

$\frac{- 1 \cdot - 3}{0 - 1}$

Subtract $1$ from $0$ .

$\frac{- 1 \cdot - 3}{- 1}$

Multiply $- 1$ by $- 3$ .

$\frac{3}{- 1}$

Divide $3$ by $- 1$ .

$- 3$