Pre-Algebra Examples

$24 \div 15 %$

Step 1

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

$24 \div \frac{15}{100}$

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.

$\frac{\frac{2400}{15}}{10000}$

Step 3

Reduce the fraction.

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Step 3.1

Cancel the common factor of $2400$ and $15$ .

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Step 3.1.1

Factor $15$ out of $2400$ .

$\frac{\frac{15 \cdot 160}{15}}{10000}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $15$ out of $15$ .

$\frac{\frac{15 \cdot 160}{15 (1)}}{10000}$

Step 3.1.2.2

Cancel the common factor.

$\frac{\frac{15 \cdot 160}{15 \cdot 1}}{10000}$

Step 3.1.2.3

Rewrite the expression.

$\frac{\frac{160}{1}}{10000}$

Step 3.1.2.4

Divide $160$ by $1$ .

$\frac{160}{10000}$

Step 3.2

Cancel the common factor of $160$ and $10000$ .

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Step 3.2.1

Factor $80$ out of $160$ .

$\frac{80 (2)}{10000}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $80$ out of $10000$ .

$\frac{80 \cdot 2}{80 \cdot 125}$

Step 3.2.2.2

Cancel the common factor.

$\frac{80 \cdot 2}{80 \cdot 125}$

Step 3.2.2.3

Rewrite the expression.

$\frac{2}{125}$

Step 4

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

$160$