Algebra Examples

$0.005 %$

Step 1

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means 'out of $100$ '.

$\frac{0.005}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are $3$ numbers to the right of the decimal point, move the decimal point $3$ places to the right.

$\frac{5}{100000}$

Step 3

Cancel the common factor of $5$ and $100000$ .

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Step 3.1

Factor $5$ out of $5$ .

$\frac{5 (1)}{100000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $100000$ .

$\frac{5 \cdot 1}{5 \cdot 20000}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot 20000}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{20000}$