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 $20$ .

$\frac{89}{120}$