Basic Math Examples

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

Step 1

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means 'out of $100$ '.

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

Step 2

Reduce the fraction.

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

Add $8$ and $\frac{4}{5}$ .

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Step 2.1.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 2.1.2.2

Combine $8$ and $\frac{5}{5}$ .

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

Step 2.1.2.3

Combine the numerators over the common denominator.

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

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply $8$ by $5$ .

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

Step 2.1.2.4.2

Add $40$ and $4$ .

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

Step 2.3

Cancel the common factor of $4$ .

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Step 2.3.1

Factor $4$ out of $44$ .

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

Step 2.3.2

Factor $4$ out of $100$ .

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

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 $25$ .

$\frac{11}{125}$