Basic Math Examples

$\frac{- 2}{3} \cdot \frac{- 9}{12}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{3} \cdot \frac{- 9}{12}$

Step 1.2

Factor $2$ out of $12$ .

$\frac{2 \cdot - 1}{3} \cdot \frac{- 9}{2 \cdot 6}$

Step 1.3

Cancel the common factor.

$\frac{2 \cdot - 1}{3} \cdot \frac{- 9}{2 \cdot 6}$

Step 1.4

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{- 9}{6}$

$\frac{- 1}{3} \cdot \frac{- 9}{6}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $- 9$ .

$\frac{- 1}{3} \cdot \frac{3 (- 3)}{6}$

Step 2.2

Cancel the common factor.

$\frac{- 1}{3} \cdot \frac{3 \cdot - 3}{6}$

Step 2.3

Rewrite the expression.

$- 1 \cdot \frac{- 3}{6}$

$- 1 \cdot \frac{- 3}{6}$

Step 3

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

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Step 3.1

Factor $3$ out of $- 3$ .

$- 1 \cdot \frac{3 (- 1)}{6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $6$ .

$- 1 \cdot \frac{3 \cdot - 1}{3 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$- 1 \cdot \frac{3 \cdot - 1}{3 \cdot 2}$

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

Move the negative in front of the fraction.

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

Step 5

Multiply $- 1 (- \frac{1}{2})$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{2})$

Step 5.2

Multiply $\frac{1}{2}$ by $1$ .

$\frac{1}{2}$

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$