Pre-Algebra Examples

$281 \div 40 %$

Step 1

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

$281 \div \frac{40}{100}$

Step 2

Reduce the fraction.

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Step 2.1

To divide by a fraction, multiply by its reciprocal.

$281 (\frac{100}{40})$

Step 2.2

Cancel the common factor of $100$ and $40$ .

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Step 2.2.1

Factor $20$ out of $100$ .

$281 \frac{20 (5)}{40}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $20$ out of $40$ .

$281 \frac{20 \cdot 5}{20 \cdot 2}$

Step 2.2.2.2

Cancel the common factor.

$281 \frac{20 \cdot 5}{20 \cdot 2}$

Step 2.2.2.3

Rewrite the expression.

$281 (\frac{5}{2})$

Step 2.3

Multiply $281 (\frac{5}{2})$ .

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Step 2.3.1

Combine $281$ and $\frac{5}{2}$ .

$\frac{281 \cdot 5}{2}$

Step 2.3.2

Multiply $281$ by $5$ .

$\frac{1405}{2}$

Step 3

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

$702.5$