Basic Math Examples

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

Step 1

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

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

Step 2

Reduce the fraction.

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Step 2.1

Convert $66 \frac{2}{3}$ to an improper fraction.

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Step 2.1.1

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

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

Step 2.1.2

Add $66$ and $\frac{2}{3}$ .

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Step 2.1.2.1

To write $66$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 2.1.2.2

Combine $66$ and $\frac{3}{3}$ .

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

Step 2.1.2.3

Combine the numerators over the common denominator.

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

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply $66$ by $3$ .

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

Step 2.1.2.4.2

Add $198$ and $2$ .

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

Step 2.3

Cancel the common factor of $100$ .

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Step 2.3.1

Factor $100$ out of $200$ .

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

Step 2.3.2

Cancel the common factor.

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

Step 2.3.3

Rewrite the expression.

$\frac{2}{3}$