Pre-Algebra Examples

$830 \div 48 %$

Step 1

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

$830 \div \frac{48}{100}$

Step 2

Reduce the fraction.

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Step 2.1

To divide by a fraction, multiply by its reciprocal.

$830 (\frac{100}{48})$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $830$ .

$2 (415) \frac{100}{48}$

Step 2.2.2

Factor $2$ out of $48$ .

$2 \cdot 415 \frac{100}{2 \cdot 24}$

Step 2.2.3

Cancel the common factor.

$2 \cdot 415 \frac{100}{2 \cdot 24}$

Step 2.2.4

Rewrite the expression.

$415 (\frac{100}{24})$

Step 2.3

Combine $415$ and $\frac{100}{24}$ .

$\frac{415 \cdot 100}{24}$

Step 2.4

Multiply $415$ by $100$ .

$\frac{41500}{24}$

Step 2.5

Cancel the common factor of $41500$ and $24$ .

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Step 2.5.1

Factor $4$ out of $41500$ .

$\frac{4 (10375)}{24}$

Step 2.5.2

Cancel the common factors.

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Step 2.5.2.1

Factor $4$ out of $24$ .

$\frac{4 \cdot 10375}{4 \cdot 6}$

Step 2.5.2.2

Cancel the common factor.

$\frac{4 \cdot 10375}{4 \cdot 6}$

Step 2.5.2.3

Rewrite the expression.

$\frac{10375}{6}$

Step 3

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

$1729.1\overline{6}$