Algebra Examples

$0.2 %$

Step 1

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

$\frac{0.2}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is $1$ number to the right of the decimal point, move the decimal point $1$ place to the right.

$\frac{2}{1000}$

Step 3

Cancel the common factor of $2$ and $1000$ .

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Step 3.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{1000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $1000$ .

$\frac{2 \cdot 1}{2 \cdot 500}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 500}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{500}$

Step 4

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

$0.002$