Pre-Algebra Examples

$- \frac{2}{9} \cdot \frac{5}{4}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Move the leading negative in $- \frac{2}{9}$ into the numerator.

$\frac{- 2}{9} \cdot \frac{5}{4}$

Step 1.2

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{9} \cdot \frac{5}{4}$

Step 1.3

Factor $2$ out of $4$ .

$\frac{2 \cdot - 1}{9} \cdot \frac{5}{2 \cdot 2}$

Step 1.4

Cancel the common factor.

$\frac{2 \cdot - 1}{9} \cdot \frac{5}{2 \cdot 2}$

Step 1.5

Rewrite the expression.

$\frac{- 1}{9} \cdot \frac{5}{2}$

$\frac{- 1}{9} \cdot \frac{5}{2}$

Step 2

Multiply $\frac{- 1}{9}$ by $\frac{5}{2}$ .

$\frac{- 1 \cdot 5}{9 \cdot 2}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 1$ by $5$ .

$\frac{- 5}{9 \cdot 2}$

Step 3.2

Multiply $9$ by $2$ .

$\frac{- 5}{18}$

Step 3.3

Move the negative in front of the fraction.

$- \frac{5}{18}$

$- \frac{5}{18}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{18}$

Decimal Form:

$- 0.2\overline{7}$

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