Pre-Algebra Examples

$250 % \div 36$

Step 1

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

$250 \div \frac{36}{100}$

Step 2

Reduce the fraction.

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Step 2.1

To divide by a fraction, multiply by its reciprocal.

$250 (\frac{100}{36})$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $250$ .

$2 (125) \frac{100}{36}$

Step 2.2.2

Factor $2$ out of $36$ .

$2 \cdot 125 \frac{100}{2 \cdot 18}$

Step 2.2.3

Cancel the common factor.

$2 \cdot 125 \frac{100}{2 \cdot 18}$

Step 2.2.4

Rewrite the expression.

$125 (\frac{100}{18})$

Step 2.3

Combine $125$ and $\frac{100}{18}$ .

$\frac{125 \cdot 100}{18}$

Step 2.4

Multiply $125$ by $100$ .

$\frac{12500}{18}$

Step 2.5

Cancel the common factor of $12500$ and $18$ .

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Step 2.5.1

Factor $2$ out of $12500$ .

$\frac{2 (6250)}{18}$

Step 2.5.2

Cancel the common factors.

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Step 2.5.2.1

Factor $2$ out of $18$ .

$\frac{2 \cdot 6250}{2 \cdot 9}$

Step 2.5.2.2

Cancel the common factor.

$\frac{2 \cdot 6250}{2 \cdot 9}$

Step 2.5.2.3

Rewrite the expression.

$\frac{6250}{9}$

Step 3

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

$694.\overline{4}$