Basic Math Examples

83 \frac{1}{3} %

$83 \frac{1}{3} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{83 \frac{1}{3}}{100}

$\frac{83 \frac{1}{3}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

83 \frac{1}{3}

$83 \frac{1}{3}$ 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{83 + \frac{1}{3}}{100}

$\frac{83 + \frac{1}{3}}{100}$

Step 2.1.2

Add

83

$83$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 2.1.2.1

To write

83

$83$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{83 \cdot \frac{3}{3} + \frac{1}{3}}{100}

$\frac{83 \cdot \frac{3}{3} + \frac{1}{3}}{100}$

Step 2.1.2.2

Combine

83

$83$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{\frac{83 \cdot 3}{3} + \frac{1}{3}}{100}

$\frac{\frac{83 \cdot 3}{3} + \frac{1}{3}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{83 \cdot 3 + 1}{3}}{100}

$\frac{\frac{83 \cdot 3 + 1}{3}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

83

$83$ by

3

$3$ .

\frac{\frac{249 + 1}{3}}{100}

$\frac{\frac{249 + 1}{3}}{100}$

Step 2.1.2.4.2

Add

249

$249$ and

1

$1$ .

\frac{\frac{250}{3}}{100}

$\frac{\frac{250}{3}}{100}$

\frac{\frac{250}{3}}{100}

$\frac{\frac{250}{3}}{100}$

\frac{\frac{250}{3}}{100}

$\frac{\frac{250}{3}}{100}$

\frac{\frac{250}{3}}{100}

$\frac{\frac{250}{3}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{250}{3} \cdot \frac{1}{100}

$\frac{250}{3} \cdot \frac{1}{100}$

Step 2.3

Cancel the common factor of

50

$50$ .

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Step 2.3.1

Factor

50

$50$ out of

250

$250$ .

\frac{50 (5)}{3} \cdot \frac{1}{100}

$\frac{50 (5)}{3} \cdot \frac{1}{100}$

Step 2.3.2

Factor

50

$50$ out of

100

$100$ .

\frac{50 \cdot 5}{3} \cdot \frac{1}{50 \cdot 2}

$\frac{50 \cdot 5}{3} \cdot \frac{1}{50 \cdot 2}$

Step 2.3.3

Cancel the common factor.

$\frac{50 \cdot 5}{3} \cdot \frac{1}{50 \cdot 2}$

Step 2.3.4

Rewrite the expression.

$\frac{5}{3} \cdot \frac{1}{2}$

Step 2.4

Multiply

$\frac{5}{3}$ by

$\frac{1}{2}$ .

$\frac{5}{3 \cdot 2}$

Step 2.5

Multiply

$3$ by

$2$ .

$\frac{5}{6}$