Basic Math Examples

66 \frac{2}{3} %

$66 \frac{2}{3} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{66 \frac{2}{3}}{100}

$\frac{66 \frac{2}{3}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

66 \frac{2}{3}

$66 \frac{2}{3}$ 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{66 + \frac{2}{3}}{100}

$\frac{66 + \frac{2}{3}}{100}$

Step 2.1.2

Add

66

$66$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 2.1.2.1

To write

66

$66$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{66 \cdot \frac{3}{3} + \frac{2}{3}}{100}

$\frac{66 \cdot \frac{3}{3} + \frac{2}{3}}{100}$

Step 2.1.2.2

Combine

66

$66$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{\frac{66 \cdot 3}{3} + \frac{2}{3}}{100}

$\frac{\frac{66 \cdot 3}{3} + \frac{2}{3}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{66 \cdot 3 + 2}{3}}{100}

$\frac{\frac{66 \cdot 3 + 2}{3}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

66

$66$ by

3

$3$ .

\frac{\frac{198 + 2}{3}}{100}

$\frac{\frac{198 + 2}{3}}{100}$

Step 2.1.2.4.2

Add

198

$198$ and

2

$2$ .

\frac{\frac{200}{3}}{100}

$\frac{\frac{200}{3}}{100}$

\frac{\frac{200}{3}}{100}

$\frac{\frac{200}{3}}{100}$

\frac{\frac{200}{3}}{100}

$\frac{\frac{200}{3}}{100}$

\frac{\frac{200}{3}}{100}

$\frac{\frac{200}{3}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{200}{3} \cdot \frac{1}{100}

$\frac{200}{3} \cdot \frac{1}{100}$

Step 2.3

Cancel the common factor of

100

$100$ .

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Step 2.3.1

Factor

100

$100$ out of

200

$200$ .

\frac{100 (2)}{3} \cdot \frac{1}{100}

$\frac{100 (2)}{3} \cdot \frac{1}{100}$

Step 2.3.2

Cancel the common factor.

$\frac{100 \cdot 2}{3} \cdot \frac{1}{100}$

Step 2.3.3

Rewrite the expression.

$\frac{2}{3}$