Basic Math Examples

$| 6 \cdot (- \frac{3}{2}) | - 12$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$| 6 \cdot \frac{- 3}{2} | - 12$

Step 1.1.2

Factor $2$ out of $6$ .

$| 2 (3) \cdot \frac{- 3}{2} | - 12$

Step 1.1.3

Cancel the common factor.

$| 2 \cdot 3 \cdot \frac{- 3}{2} | - 12$

Step 1.1.4

Rewrite the expression.

$| 3 \cdot - 3 | - 12$

Step 1.2

Multiply $3$ by $- 3$ .

$| - 9 | - 12$

Step 1.3

The absolute value is the distance between a number and zero. The distance between $- 9$ and $0$ is $9$ .

$9 - 12$

Step 2

Subtract $12$ from $9$ .

$- 3$