Basic Math Examples

78.55 %

$78.55 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{78.55}{100}

$\frac{78.55}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are

2

$2$ numbers to the right of the decimal point, move the decimal point

2

$2$ places to the right.

\frac{7855}{10000}

$\frac{7855}{10000}$

Step 3

Cancel the common factor of

7855

$7855$ and

10000

$10000$ .

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Step 3.1

Factor

5

$5$ out of

7855

$7855$ .

\frac{5 (1571)}{10000}

$\frac{5 (1571)}{10000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

5

$5$ out of

10000

$10000$ .

\frac{5 \cdot 1571}{5 \cdot 2000}

$\frac{5 \cdot 1571}{5 \cdot 2000}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 1571}{5 \cdot 2000}$

Step 3.2.3

Rewrite the expression.

$\frac{1571}{2000}$