Pre-Algebra Examples

$30 \div 30 %$

Step 1

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

$30 \div \frac{30}{100}$

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.

$\frac{\frac{3000}{30}}{10000}$

Step 3

Reduce the fraction.

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Step 3.1

Cancel the common factor of $3000$ and $30$ .

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Step 3.1.1

Factor $30$ out of $3000$ .

$\frac{\frac{30 \cdot 100}{30}}{10000}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $30$ out of $30$ .

$\frac{\frac{30 \cdot 100}{30 (1)}}{10000}$

Step 3.1.2.2

Cancel the common factor.

$\frac{\frac{30 \cdot 100}{30 \cdot 1}}{10000}$

Step 3.1.2.3

Rewrite the expression.

$\frac{\frac{100}{1}}{10000}$

Step 3.1.2.4

Divide $100$ by $1$ .

$\frac{100}{10000}$

Step 3.2

Cancel the common factor of $100$ and $10000$ .

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Step 3.2.1

Factor $100$ out of $100$ .

$\frac{100 (1)}{10000}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $100$ out of $10000$ .

$\frac{100 \cdot 1}{100 \cdot 100}$

Step 3.2.2.2

Cancel the common factor.

$\frac{100 \cdot 1}{100 \cdot 100}$

Step 3.2.2.3

Rewrite the expression.

$\frac{1}{100}$

Step 4

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

$100$