Basic Math Examples

1 \frac{4}{5} %

$1 \frac{4}{5} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{1 \frac{4}{5}}{100}

$\frac{1 \frac{4}{5}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

1 \frac{4}{5}

$1 \frac{4}{5}$ 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{1 + \frac{4}{5}}{100}

$\frac{1 + \frac{4}{5}}{100}$

Step 2.1.2

Add

1

$1$ and

\frac{4}{5}

$\frac{4}{5}$ .

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Step 2.1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 2.1.2.2

Combine the numerators over the common denominator.

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

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

Step 2.1.2.3

Add

5

$5$ and

4

$4$ .

\frac{\frac{9}{5}}{100}

$\frac{\frac{9}{5}}{100}$

\frac{\frac{9}{5}}{100}

$\frac{\frac{9}{5}}{100}$

\frac{\frac{9}{5}}{100}

$\frac{\frac{9}{5}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{9}{5} \cdot \frac{1}{100}

$\frac{9}{5} \cdot \frac{1}{100}$

Step 2.3

Multiply

\frac{9}{5} \cdot \frac{1}{100}

$\frac{9}{5} \cdot \frac{1}{100}$ .

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Step 2.3.1

Multiply

\frac{9}{5}

$\frac{9}{5}$ by

\frac{1}{100}

$\frac{1}{100}$ .

\frac{9}{5 \cdot 100}

$\frac{9}{5 \cdot 100}$

Step 2.3.2

Multiply

5

$5$ by

100

$100$ .

\frac{9}{500}

$\frac{9}{500}$

\frac{9}{500}

$\frac{9}{500}$

\frac{9}{500}

$\frac{9}{500}$