Basic Math Examples

$\frac{(- 9) (- 2) - 8 \cdot 2}{2 (9 \div (2 - 11))}$

Step 1

Cancel the common factor of $(- 9) (- 2) - 8 \cdot 2$ and $2$ .

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Step 1.1

Factor $2$ out of $(- 9) (- 2)$ .

$\frac{2 (- 9 \cdot (- 1)) - 8 \cdot 2}{2 (9 \div (2 - 11))}$

Step 1.2

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

$\frac{2 (- 9 \cdot (- 1)) + 2 (- 4 \cdot 2)}{2 (9 \div (2 - 11))}$

Step 1.3

Factor $2$ out of $2 (- 9 \cdot (- 1)) + 2 (- 4 \cdot 2)$ .

$\frac{2 (- 9 \cdot (- 1) - 4 \cdot 2)}{2 (9 \div (2 - 11))}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Cancel the common factor.

$\frac{2 (- 9 \cdot (- 1) - 4 \cdot 2)}{29 \div (2 - 11)}$

Step 1.4.2

Rewrite the expression.

$\frac{- 9 \cdot (- 1) - 4 \cdot 2}{9 \div (2 - 11)}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$(- 9 \cdot (- 1) - 4 \cdot 2) \frac{2 - 11}{9}$

Step 3

Subtract $11$ from $2$ .

$(- 9 \cdot (- 1) - 4 \cdot 2) \frac{- 9}{9}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 9$ by $- 1$ .

$(9 - 4 \cdot 2) \frac{- 9}{9}$

Step 4.2

Multiply $- 4$ by $2$ .

$(9 - 8) \frac{- 9}{9}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $8$ from $9$ .

$1 (\frac{- 9}{9})$

Step 5.2

Multiply $\frac{- 9}{9}$ by $1$ .

$\frac{- 9}{9}$

Step 5.3

Divide $- 9$ by $9$ .

$- 1$