Basic Math Examples

$(- 4 - 8 \cdot - 2) \div (- 2 - 10)$

Step 1

Rewrite the division as a fraction.

$\frac{- 4 - 8 \cdot - 2}{- 2 - 10}$

Step 2

Cancel the common factor of $- 4 - 8 \cdot - 2$ and $- 2 - 10$ .

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Step 2.1

Factor $2$ out of $- 4$ .

$\frac{2 (- 2) - 8 \cdot - 2}{- 2 - 10}$

Step 2.2

Factor $2$ out of $- 8 \cdot - 2$ .

$\frac{2 (- 2) + 2 (- 4 \cdot - 2)}{- 2 - 10}$

Step 2.3

Factor $2$ out of $2 (- 2) + 2 (- 4 \cdot - 2)$ .

$\frac{2 (- 2 - 4 \cdot - 2)}{- 2 - 10}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $2$ out of $- 2$ .

$\frac{2 (- 2 - 4 \cdot - 2)}{2 \cdot - 1 - 10}$

Step 2.4.2

Factor $2$ out of $- 10$ .

$\frac{2 (- 2 - 4 \cdot - 2)}{2 \cdot - 1 + 2 \cdot - 5}$

Step 2.4.3

Factor $2$ out of $2 \cdot - 1 + 2 \cdot - 5$ .

$\frac{2 (- 2 - 4 \cdot - 2)}{2 \cdot (- 1 - 5)}$

Step 2.4.4

Cancel the common factor.

$\frac{2 (- 2 - 4 \cdot - 2)}{2 \cdot (- 1 - 5)}$

Step 2.4.5

Rewrite the expression.

$\frac{- 2 - 4 \cdot - 2}{- 1 - 5}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $- 4$ by $- 2$ .

$\frac{- 2 + 8}{- 1 - 5}$

Step 3.2

Add $- 2$ and $8$ .

$\frac{6}{- 1 - 5}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $5$ from $- 1$ .

$\frac{6}{- 6}$

Step 4.2

Divide $6$ by $- 6$ .

$- 1$