Pre-Algebra Examples

$0.031 % \div 360$

Step 1

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

$0.031 \div \frac{360}{100}$

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.

$\frac{\frac{31}{360}}{100000}$

Step 3

Reduce the fraction.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{31}{360} \cdot \frac{1}{100000}$

Step 3.2

Multiply $\frac{31}{360} \cdot \frac{1}{100000}$ .

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Step 3.2.1

Multiply $\frac{31}{360}$ by $\frac{1}{100000}$ .

$\frac{31}{360 \cdot 100000}$

Step 3.2.2

Multiply $360$ by $100000$ .

$\frac{31}{36000000}$

Step 4

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

$0.0086\overline{1}$