Basic Math Examples

$(- 6 - 3) | - 2 - 3 | \div 9$

Step 1

Rewrite the division as a fraction.

$\frac{(- 6 - 3) | - 2 - 3 |}{9}$

Step 2

Cancel the common factor of $- 6 - 3$ and $9$ .

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Step 2.1

Factor $3$ out of $(- 6 - 3) | - 2 - 3 |$ .

$\frac{3 ((- 2 - 1) | - 2 - 3 |)}{9}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $9$ .

$\frac{3 ((- 2 - 1) | - 2 - 3 |)}{3 (3)}$

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{(- 2 - 1) | - 2 - 3 |}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Subtract $1$ from $- 2$ .

$\frac{- 3 | - 2 - 3 |}{3}$

Step 3.2

Subtract $3$ from $- 2$ .

$\frac{- 3 | - 5 |}{3}$

Step 3.3

The absolute value is the distance between a number and zero. The distance between $- 5$ and $0$ is $5$ .

$\frac{- 3 \cdot 5}{3}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 3$ by $5$ .

$\frac{- 15}{3}$

Step 4.2

Divide $- 15$ by $3$ .

$- 5$