Basic Math Examples

19 \frac{1}{7} %

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

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

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

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

Step 2

Reduce the fraction.

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Step 2.1

Convert

19 \frac{1}{7}

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

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

Step 2.1.2

Add

19

$19$ and

\frac{1}{7}

$\frac{1}{7}$ .

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Step 2.1.2.1

To write

19

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

\frac{7}{7}

$\frac{7}{7}$ .

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

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

Step 2.1.2.2

Combine

19

$19$ and

\frac{7}{7}

$\frac{7}{7}$ .

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

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

Step 2.1.2.3

Combine the numerators over the common denominator.

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

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

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

19

$19$ by

7

$7$ .

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

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

Step 2.1.2.4.2

Add

133

$133$ and

1

$1$ .

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

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

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

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

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

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

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

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 2.3

Cancel the common factor of

2

$2$ .

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Step 2.3.1

Factor

2

$2$ out of

134

$134$ .

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

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

Step 2.3.2

Factor

2

$2$ out of

100

$100$ .

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

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

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

$50$ .

$\frac{67}{350}$