Pre-Algebra Examples

$\frac{- 6 \cdot - 6}{3 - (- 3)}$

Step 1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.1

Cancel the common factor of $- 6$ and $3 - (- 3)$ .

Tap for more steps...

Step 1.1.1

Reorder terms.

$\frac{- 6 \cdot - 6}{3 - 3 \cdot - 1}$

Step 1.1.2

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

$\frac{3 (- 2 \cdot - 6)}{3 - 3 \cdot - 1}$

Step 1.1.3

Cancel the common factors.

Tap for more steps...

Step 1.1.3.1

Factor $3$ out of $3$ .

$\frac{3 (- 2 \cdot - 6)}{3 (1) - 3 \cdot - 1}$

Step 1.1.3.2

Factor $3$ out of $- 3 \cdot - 1$ .

$\frac{3 (- 2 \cdot - 6)}{3 (1) + 3 (- - 1)}$

Step 1.1.3.3

Factor $3$ out of $3 (1) + 3 (- - 1)$ .

$\frac{3 (- 2 \cdot - 6)}{3 (1 - - 1)}$

Step 1.1.3.4

Cancel the common factor.

$\frac{3 (- 2 \cdot - 6)}{3 (1 - - 1)}$

Step 1.1.3.5

Rewrite the expression.

$\frac{- 2 \cdot - 6}{1 - - 1}$

Step 1.2

Multiply $- 2$ by $- 6$ .

$\frac{12}{1 - - 1}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Multiply $- 1$ by $- 1$ .

$\frac{12}{1 + 1}$

Step 2.2

Add $1$ and $1$ .

$\frac{12}{2}$

Step 3

Divide $12$ by $2$ .

$6$