Basic Math Examples

2 \frac{1}{4} %

$2 \frac{1}{4} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{2 \frac{1}{4}}{100}

$\frac{2 \frac{1}{4}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

2 \frac{1}{4}

$2 \frac{1}{4}$ 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{2 + \frac{1}{4}}{100}

$\frac{2 + \frac{1}{4}}{100}$

Step 2.1.2

Add

2

$2$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 2.1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2 \cdot \frac{4}{4} + \frac{1}{4}}{100}

$\frac{2 \cdot \frac{4}{4} + \frac{1}{4}}{100}$

Step 2.1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{\frac{2 \cdot 4}{4} + \frac{1}{4}}{100}

$\frac{\frac{2 \cdot 4}{4} + \frac{1}{4}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{2 \cdot 4 + 1}{4}}{100}

$\frac{\frac{2 \cdot 4 + 1}{4}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{\frac{8 + 1}{4}}{100}

$\frac{\frac{8 + 1}{4}}{100}$

Step 2.1.2.4.2

Add

8

$8$ and

1

$1$ .

\frac{\frac{9}{4}}{100}

$\frac{\frac{9}{4}}{100}$

\frac{\frac{9}{4}}{100}

$\frac{\frac{9}{4}}{100}$

\frac{\frac{9}{4}}{100}

$\frac{\frac{9}{4}}{100}$

\frac{\frac{9}{4}}{100}

$\frac{\frac{9}{4}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{9}{4} \cdot \frac{1}{100}

$\frac{9}{4} \cdot \frac{1}{100}$

Step 2.3

Multiply

\frac{9}{4} \cdot \frac{1}{100}

$\frac{9}{4} \cdot \frac{1}{100}$ .

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Step 2.3.1

Multiply

\frac{9}{4}

$\frac{9}{4}$ by

\frac{1}{100}

$\frac{1}{100}$ .

\frac{9}{4 \cdot 100}

$\frac{9}{4 \cdot 100}$

Step 2.3.2

Multiply

4

$4$ by

100

$100$ .

\frac{9}{400}

$\frac{9}{400}$

\frac{9}{400}

$\frac{9}{400}$

\frac{9}{400}

$\frac{9}{400}$