Basic Math Examples

(\frac{4}{5}) \div (- \frac{8}{25})

$(\frac{4}{5}) \div (- \frac{8}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{4}{5} (- \frac{25}{8})

$\frac{4}{5} (- \frac{25}{8})$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Move the leading negative in

- \frac{25}{8}

$- \frac{25}{8}$ into the numerator.

\frac{4}{5} \cdot \frac{- 25}{8}

$\frac{4}{5} \cdot \frac{- 25}{8}$

Step 2.2

Factor

4

$4$ out of

8

$8$ .

\frac{4}{5} \cdot \frac{- 25}{4 (2)}

$\frac{4}{5} \cdot \frac{- 25}{4 (2)}$

Step 2.3

Cancel the common factor.

$\frac{4}{5} \cdot \frac{- 25}{4 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{1}{5} \cdot \frac{- 25}{2}$

$\frac{1}{5} \cdot \frac{- 25}{2}$

Step 3

Cancel the common factor of

$5$ .

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Step 3.1

Factor

$5$ out of

$- 25$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{- 5}{2}$

$\frac{- 5}{2}$

Step 4

Move the negative in front of the fraction.

$- \frac{5}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{2}$

Decimal Form:

$- 2.5$

Mixed Number Form:

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

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