Pre-Algebra Examples

$465 \div 25 %$

Step 1

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

$465 \div \frac{25}{100}$

Step 2

Reduce the fraction.

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Step 2.1

To divide by a fraction, multiply by its reciprocal.

$465 (\frac{100}{25})$

Step 2.2

Cancel the common factor of $5$ .

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Step 2.2.1

Factor $5$ out of $465$ .

$5 (93) \frac{100}{25}$

Step 2.2.2

Factor $5$ out of $25$ .

$5 \cdot 93 \frac{100}{5 \cdot 5}$

Step 2.2.3

Cancel the common factor.

$5 \cdot 93 \frac{100}{5 \cdot 5}$

Step 2.2.4

Rewrite the expression.

$93 (\frac{100}{5})$

Step 2.3

Combine $93$ and $\frac{100}{5}$ .

$\frac{93 \cdot 100}{5}$

Step 2.4

Simplify the expression.

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Step 2.4.1

Multiply $93$ by $100$ .

$\frac{9300}{5}$

Step 2.4.2

Divide $9300$ by $5$ .

$1860$

Step 3

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

$1860$