Pre-Algebra Examples

$25 % \div 40$

Step 1

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

$25 \div \frac{40}{100}$

Step 2

Reduce the fraction.

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Step 2.1

To divide by a fraction, multiply by its reciprocal.

$25 (\frac{100}{40})$

Step 2.2

Cancel the common factor of $5$ .

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Step 2.2.1

Factor $5$ out of $25$ .

$5 (5) \frac{100}{40}$

Step 2.2.2

Factor $5$ out of $40$ .

$5 \cdot 5 \frac{100}{5 \cdot 8}$

Step 2.2.3

Cancel the common factor.

$5 \cdot 5 \frac{100}{5 \cdot 8}$

Step 2.2.4

Rewrite the expression.

$5 (\frac{100}{8})$

Step 2.3

Combine $5$ and $\frac{100}{8}$ .

$\frac{5 \cdot 100}{8}$

Step 2.4

Multiply $5$ by $100$ .

$\frac{500}{8}$

Step 2.5

Cancel the common factor of $500$ and $8$ .

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Step 2.5.1

Factor $4$ out of $500$ .

$\frac{4 (125)}{8}$

Step 2.5.2

Cancel the common factors.

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Step 2.5.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 125}{4 \cdot 2}$

Step 2.5.2.2

Cancel the common factor.

$\frac{4 \cdot 125}{4 \cdot 2}$

Step 2.5.2.3

Rewrite the expression.

$\frac{125}{2}$

Step 3

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

$62.5$