Basic Math Examples

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 (8 \div (2 - 10))}$

Step 1

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

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Step 1.1

Factor $2$ out of $8$ .

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 2 \cdot 4 \div (2 - 10)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $2$ .

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 2 \cdot 4 \div (2 (1) - 10)}$

Step 1.2.2

Factor $2$ out of $- 10$ .

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 2 \cdot 4 \div (2 \cdot 1 + 2 \cdot - 5)}$

Step 1.2.3

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

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 2 \cdot 4 \div 2 \cdot (1 - 5)}$

Step 1.2.4

Cancel the common factor.

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 2 \cdot 4 \div 2 \cdot (1 - 5)}$

Step 1.2.5

Rewrite the expression.

$\frac{(- 8) (- 2) - 4 \cdot 2}{2 \frac{4}{1 - 5}}$

Step 2

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

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Step 2.1

Factor $2$ out of $(- 8) (- 2)$ .

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

Step 2.2

Factor $2$ out of $- 4 \cdot 2$ .

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

Step 2.3

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

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

Step 2.4

Cancel the common factors.

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Step 2.4.1

Cancel the common factor.

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

Step 2.4.2

Rewrite the expression.

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

Subtract $5$ from $1$ .

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

Step 5

Simplify each term.

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Step 5.1

Multiply $- 4$ by $- 2$ .

$(8 - 2 \cdot 2) \frac{- 4}{4}$

Step 5.2

Multiply $- 2$ by $2$ .

$(8 - 4) \frac{- 4}{4}$

Step 6

Reduce the expression by cancelling the common factors.

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Step 6.1

Subtract $4$ from $8$ .

$4 (\frac{- 4}{4})$

Step 6.2

Cancel the common factor of $4$ .

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Step 6.2.1

Cancel the common factor.

$4 (\frac{- 4}{4})$

Step 6.2.2

Rewrite the expression.

$- 4$