Basic Math Examples

8 \frac{4}{5} %

$8 \frac{4}{5} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{8 \frac{4}{5}}{100}

$\frac{8 \frac{4}{5}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

8 \frac{4}{5}

$8 \frac{4}{5}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

\frac{8 + \frac{4}{5}}{100}

$\frac{8 + \frac{4}{5}}{100}$

Step 2.1.2

Add

8

$8$ and

\frac{4}{5}

$\frac{4}{5}$ .

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Step 2.1.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{8 \cdot \frac{5}{5} + \frac{4}{5}}{100}

$\frac{8 \cdot \frac{5}{5} + \frac{4}{5}}{100}$

Step 2.1.2.2

Combine

8

$8$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{\frac{8 \cdot 5}{5} + \frac{4}{5}}{100}

$\frac{\frac{8 \cdot 5}{5} + \frac{4}{5}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{8 \cdot 5 + 4}{5}}{100}

$\frac{\frac{8 \cdot 5 + 4}{5}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

8

$8$ by

5

$5$ .

\frac{\frac{40 + 4}{5}}{100}

$\frac{\frac{40 + 4}{5}}{100}$

Step 2.1.2.4.2

Add

40

$40$ and

4

$4$ .

\frac{\frac{44}{5}}{100}

$\frac{\frac{44}{5}}{100}$

\frac{\frac{44}{5}}{100}

$\frac{\frac{44}{5}}{100}$

\frac{\frac{44}{5}}{100}

$\frac{\frac{44}{5}}{100}$

\frac{\frac{44}{5}}{100}

$\frac{\frac{44}{5}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{44}{5} \cdot \frac{1}{100}

$\frac{44}{5} \cdot \frac{1}{100}$

Step 2.3

Cancel the common factor of

4

$4$ .

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Step 2.3.1

Factor

4

$4$ out of

44

$44$ .

\frac{4 (11)}{5} \cdot \frac{1}{100}

$\frac{4 (11)}{5} \cdot \frac{1}{100}$

Step 2.3.2

Factor

4

$4$ out of

100

$100$ .

\frac{4 \cdot 11}{5} \cdot \frac{1}{4 \cdot 25}

$\frac{4 \cdot 11}{5} \cdot \frac{1}{4 \cdot 25}$

Step 2.3.3

Cancel the common factor.

$\frac{4 \cdot 11}{5} \cdot \frac{1}{4 \cdot 25}$

Step 2.3.4

Rewrite the expression.

$\frac{11}{5} \cdot \frac{1}{25}$

Step 2.4

Multiply

$\frac{11}{5}$ by

$\frac{1}{25}$ .

$\frac{11}{5 \cdot 25}$

Step 2.5

Multiply

$5$ by

$25$ .

$\frac{11}{125}$