Pre-Algebra Examples

$100 \div 140 %$

Step 1

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

$100 \div \frac{140}{100}$

Step 2

Reduce the fraction.

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Step 2.1

To divide by a fraction, multiply by its reciprocal.

$100 (\frac{100}{140})$

Step 2.2

Cancel the common factor of $20$ .

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Step 2.2.1

Factor $20$ out of $100$ .

$20 (5) \frac{100}{140}$

Step 2.2.2

Factor $20$ out of $140$ .

$20 \cdot 5 \frac{100}{20 \cdot 7}$

Step 2.2.3

Cancel the common factor.

$20 \cdot 5 \frac{100}{20 \cdot 7}$

Step 2.2.4

Rewrite the expression.

$5 (\frac{100}{7})$

Step 2.3

Combine $5$ and $\frac{100}{7}$ .

$\frac{5 \cdot 100}{7}$

Step 2.4

Multiply $5$ by $100$ .

$\frac{500}{7}$

Step 3

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

$71.42857142 \dots$