Algebra Examples

8.65 %

$8.65 %$

Step 1

Convert the percentage to a fraction by placing the expression over

$100$ . Percentage means 'out of

$100$ '.

$\frac{8.65}{100}$

Step 2

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

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

$2$ places to the right.

$\frac{865}{10000}$

Step 3

Cancel the common factor of

$865$ and

$10000$ .

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Step 3.1

Factor

$5$ out of

$865$ .

$\frac{5 (173)}{10000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

$5$ out of

$10000$ .

$\frac{5 \cdot 173}{5 \cdot 2000}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 173}{5 \cdot 2000}$

Step 3.2.3

Rewrite the expression.

$\frac{173}{2000}$

Step 4

Convert the fraction to a decimal by dividing the numerator by the denominator.

$0.0865$