Basic Math Examples

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

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.

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

Add $19$ and $\frac{1}{7}$ .

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Step 2.1.2.1

To write $19$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

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

Step 2.1.2.2

Combine $19$ and $\frac{7}{7}$ .

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

Step 2.1.2.3

Combine the numerators over the common denominator.

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

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply $19$ by $7$ .

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

Step 2.1.2.4.2

Add $133$ and $1$ .

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $134$ .

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

Step 2.3.2

Factor $2$ out of $100$ .

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

Step 2.3.3

Cancel the common factor.

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

Step 2.3.4

Rewrite the expression.

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

Step 2.4

Multiply $\frac{67}{7}$ by $\frac{1}{50}$ .

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

Step 2.5

Multiply $7$ by $50$ .

$\frac{67}{350}$