Basic Math Examples

11 \frac{1}{9} %

$11 \frac{1}{9} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{11 \frac{1}{9}}{100}

$\frac{11 \frac{1}{9}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

11 \frac{1}{9}

$11 \frac{1}{9}$ 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{11 + \frac{1}{9}}{100}

$\frac{11 + \frac{1}{9}}{100}$

Step 2.1.2

Add

11

$11$ and

\frac{1}{9}

$\frac{1}{9}$ .

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Step 2.1.2.1

To write

11

$11$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{11 \cdot \frac{9}{9} + \frac{1}{9}}{100}

$\frac{11 \cdot \frac{9}{9} + \frac{1}{9}}{100}$

Step 2.1.2.2

Combine

11

$11$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{\frac{11 \cdot 9}{9} + \frac{1}{9}}{100}

$\frac{\frac{11 \cdot 9}{9} + \frac{1}{9}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{11 \cdot 9 + 1}{9}}{100}

$\frac{\frac{11 \cdot 9 + 1}{9}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

11

$11$ by

9

$9$ .

\frac{\frac{99 + 1}{9}}{100}

$\frac{\frac{99 + 1}{9}}{100}$

Step 2.1.2.4.2

Add

99

$99$ and

1

$1$ .

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

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

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

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

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

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

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

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 2.3

Cancel the common factor of

100

$100$ .

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Step 2.3.1

Cancel the common factor.

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

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

Step 2.3.2

Rewrite the expression.

\frac{1}{9}

$\frac{1}{9}$

\frac{1}{9}

$\frac{1}{9}$

\frac{1}{9}

$\frac{1}{9}$