Pre-Algebra Examples

$0.5 % \div 8$

Step 1

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

$0.5 \div \frac{8}{100}$

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.

$\frac{\frac{5}{8}}{1000}$

Step 3

Reduce the fraction.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{8} \cdot \frac{1}{1000}$

Step 3.2

Cancel the common factor of $5$ .

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Step 3.2.1

Factor $5$ out of $1000$ .

$\frac{5}{8} \cdot \frac{1}{5 (200)}$

Step 3.2.2

Cancel the common factor.

$\frac{5}{8} \cdot \frac{1}{5 \cdot 200}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{8} \cdot \frac{1}{200}$

Step 3.3

Multiply $\frac{1}{8}$ by $\frac{1}{200}$ .

$\frac{1}{8 \cdot 200}$

Step 3.4

Multiply $8$ by $200$ .

$\frac{1}{1600}$

Step 4

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

$6.25$