Convert to a Simplified Fraction 74 1/6%

$74 \frac{1}{6} %$

Step 1

Convert the percentage to a fraction by placing the expression over

$100$ . Percentage means \'out of

$100$ \'.

$\frac{74 \frac{1}{6}}{100}$

Step 2

Reduce the fraction.

Convert

$74 \frac{1}{6}$ to an improper fraction.

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

$\frac{74 + \frac{1}{6}}{100}$

Add

$74$ and

$\frac{1}{6}$ .

To write

$74$ as a fraction with a common denominator, multiply by

$\frac{6}{6}$ .

$\frac{74 \cdot \frac{6}{6} + \frac{1}{6}}{100}$

Combine

$74$ and

$\frac{6}{6}$ .

$\frac{\frac{74 \cdot 6}{6} + \frac{1}{6}}{100}$

Combine the numerators over the common denominator.

$\frac{\frac{74 \cdot 6 + 1}{6}}{100}$

Simplify the numerator.

Multiply

$74$ by

$6$ .

$\frac{\frac{444 + 1}{6}}{100}$

Add

$444$ and

$1$ .

$\frac{\frac{445}{6}}{100}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{445}{6} \cdot \frac{1}{100}$

Cancel the common factor of

$5$ .

Factor

$5$ out of

$445$ .

$\frac{5 (89)}{6} \cdot \frac{1}{100}$

Factor

$5$ out of

$100$ .

$\frac{5 \cdot 89}{6} \cdot \frac{1}{5 \cdot 20}$

Cancel the common factor.

$\frac{5 \cdot 89}{6} \cdot \frac{1}{5 \cdot 20}$

Rewrite the expression.

$\frac{89}{6} \cdot \frac{1}{20}$

Multiply

$\frac{89}{6}$ by

$\frac{1}{20}$ .

$\frac{89}{6 \cdot 20}$

Multiply

$6$ by

$20$ .

$\frac{89}{120}$

Convert to a Simplified Fraction 74 1/6%

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