Convert to a Simplified Fraction 19 1/7%

$19 \frac{1}{7} %$

Step 1

Convert the percentage to a fraction by placing the expression over

$100$ . Percentage means \'out of

$100$ \'.

$\frac{19 \frac{1}{7}}{100}$

Step 2

Reduce the fraction.

Convert

$19 \frac{1}{7}$ to an improper fraction.

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

$\frac{19 + \frac{1}{7}}{100}$

Add

$19$ and

$\frac{1}{7}$ .

To write

$19$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$\frac{19 \cdot \frac{7}{7} + \frac{1}{7}}{100}$

Combine

$19$ and

$\frac{7}{7}$ .

$\frac{\frac{19 \cdot 7}{7} + \frac{1}{7}}{100}$

Combine the numerators over the common denominator.

$\frac{\frac{19 \cdot 7 + 1}{7}}{100}$

Simplify the numerator.

Multiply

$19$ by

$7$ .

$\frac{\frac{133 + 1}{7}}{100}$

Add

$133$ and

$1$ .

$\frac{\frac{134}{7}}{100}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{134}{7} \cdot \frac{1}{100}$

Cancel the common factor of

$2$ .

Factor

$2$ out of

$134$ .

$\frac{2 (67)}{7} \cdot \frac{1}{100}$

Factor

$2$ out of

$100$ .

$\frac{2 \cdot 67}{7} \cdot \frac{1}{2 \cdot 50}$

Cancel the common factor.

$\frac{2 \cdot 67}{7} \cdot \frac{1}{2 \cdot 50}$

Rewrite the expression.

$\frac{67}{7} \cdot \frac{1}{50}$

Multiply

$\frac{67}{7}$ by

$\frac{1}{50}$ .

$\frac{67}{7 \cdot 50}$

Multiply

$7$ by

$50$ .

$\frac{67}{350}$

Convert to a Simplified Fraction 19 1/7%

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