Basic Math Examples

- \frac{18}{25} \cdot (- \frac{5}{9})

$- \frac{18}{25} \cdot (- \frac{5}{9})$

Step 1

Cancel the common factor of

9

$9$ .

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Step 1.1

Move the leading negative in

- \frac{18}{25}

$- \frac{18}{25}$ into the numerator.

\frac{- 18}{25} \cdot (- \frac{5}{9})

$\frac{- 18}{25} \cdot (- \frac{5}{9})$

Step 1.2

Move the leading negative in

- \frac{5}{9}

$- \frac{5}{9}$ into the numerator.

\frac{- 18}{25} \cdot \frac{- 5}{9}

$\frac{- 18}{25} \cdot \frac{- 5}{9}$

Step 1.3

Factor

9

$9$ out of

- 18

$- 18$ .

\frac{9 (- 2)}{25} \cdot \frac{- 5}{9}

$\frac{9 (- 2)}{25} \cdot \frac{- 5}{9}$

Step 1.4

Cancel the common factor.

\frac{9 \cdot - 2}{25} \cdot \frac{- 5}{9}

$\frac{9 \cdot - 2}{25} \cdot \frac{- 5}{9}$

Step 1.5

Rewrite the expression.

\frac{- 2}{25} \cdot - 5

$\frac{- 2}{25} \cdot - 5$

\frac{- 2}{25} \cdot - 5

$\frac{- 2}{25} \cdot - 5$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Factor

5

$5$ out of

25

$25$ .

\frac{- 2}{5 (5)} \cdot - 5

$\frac{- 2}{5 (5)} \cdot - 5$

Step 2.2

Factor

5

$5$ out of

- 5

$- 5$ .

\frac{- 2}{5 \cdot 5} \cdot (5 \cdot - 1)

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

Step 2.3

Cancel the common factor.

\frac{- 2}{5 \cdot 5} \cdot (5 \cdot - 1)

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

Step 2.4

Rewrite the expression.

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

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

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

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

Step 3

Combine

\frac{- 2}{5}

$\frac{- 2}{5}$ and

- 1

$- 1$ .

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

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

Step 4

Multiply

- 2

$- 2$ by

- 1

$- 1$ .

\frac{2}{5}

$\frac{2}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{2}{5}

$\frac{2}{5}$

Decimal Form:

0.4

$0.4$

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

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