Basic Math Examples

78 \frac{4}{7} %

$78 \frac{4}{7} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{78 \frac{4}{7}}{100}

$\frac{78 \frac{4}{7}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

78 \frac{4}{7}

$78 \frac{4}{7}$ 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{78 + \frac{4}{7}}{100}

$\frac{78 + \frac{4}{7}}{100}$

Step 2.1.2

Add

78

$78$ and

\frac{4}{7}

$\frac{4}{7}$ .

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Step 2.1.2.1

To write

78

$78$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{78 \cdot \frac{7}{7} + \frac{4}{7}}{100}

$\frac{78 \cdot \frac{7}{7} + \frac{4}{7}}{100}$

Step 2.1.2.2

Combine

78

$78$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{\frac{78 \cdot 7}{7} + \frac{4}{7}}{100}

$\frac{\frac{78 \cdot 7}{7} + \frac{4}{7}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{78 \cdot 7 + 4}{7}}{100}

$\frac{\frac{78 \cdot 7 + 4}{7}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

78

$78$ by

7

$7$ .

\frac{\frac{546 + 4}{7}}{100}

$\frac{\frac{546 + 4}{7}}{100}$

Step 2.1.2.4.2

Add

546

$546$ and

4

$4$ .

\frac{\frac{550}{7}}{100}

$\frac{\frac{550}{7}}{100}$

\frac{\frac{550}{7}}{100}

$\frac{\frac{550}{7}}{100}$

\frac{\frac{550}{7}}{100}

$\frac{\frac{550}{7}}{100}$

\frac{\frac{550}{7}}{100}

$\frac{\frac{550}{7}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{550}{7} \cdot \frac{1}{100}

$\frac{550}{7} \cdot \frac{1}{100}$

Step 2.3

Cancel the common factor of

50

$50$ .

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Step 2.3.1

Factor

50

$50$ out of

550

$550$ .

\frac{50 (11)}{7} \cdot \frac{1}{100}

$\frac{50 (11)}{7} \cdot \frac{1}{100}$

Step 2.3.2

Factor

50

$50$ out of

100

$100$ .

\frac{50 \cdot 11}{7} \cdot \frac{1}{50 \cdot 2}

$\frac{50 \cdot 11}{7} \cdot \frac{1}{50 \cdot 2}$

Step 2.3.3

Cancel the common factor.

$\frac{50 \cdot 11}{7} \cdot \frac{1}{50 \cdot 2}$

Step 2.3.4

Rewrite the expression.

$\frac{11}{7} \cdot \frac{1}{2}$

Step 2.4

Multiply

$\frac{11}{7}$ by

$\frac{1}{2}$ .

$\frac{11}{7 \cdot 2}$

Step 2.5

Multiply

$7$ by

$2$ .

$\frac{11}{14}$