Pre-Algebra Examples

$12.5 % \div 48$

Step 1

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

$12.5 \div \frac{48}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are $2$ numbers to the right of the decimal point, move the decimal point $2$ places to the right.

$\frac{\frac{1250}{48}}{10000}$

Step 3

Reduce the fraction.

Tap for more steps...

Step 3.1

Cancel the common factor of $1250$ and $48$ .

Tap for more steps...

Step 3.1.1

Factor $2$ out of $1250$ .

$\frac{\frac{2 (625)}{48}}{10000}$

Step 3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.1.2.1

Factor $2$ out of $48$ .

$\frac{\frac{2 \cdot 625}{2 \cdot 24}}{10000}$

Step 3.1.2.2

Cancel the common factor.

$\frac{\frac{2 \cdot 625}{2 \cdot 24}}{10000}$

Step 3.1.2.3

Rewrite the expression.

$\frac{\frac{625}{24}}{10000}$

Step 3.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{625}{24} \cdot \frac{1}{10000}$

Step 3.3

Cancel the common factor of $625$ .

Tap for more steps...

Step 3.3.1

Factor $625$ out of $10000$ .

$\frac{625}{24} \cdot \frac{1}{625 (16)}$

Step 3.3.2

Cancel the common factor.

$\frac{625}{24} \cdot \frac{1}{625 \cdot 16}$

Step 3.3.3

Rewrite the expression.

$\frac{1}{24} \cdot \frac{1}{16}$

Step 3.4

Multiply $\frac{1}{24}$ by $\frac{1}{16}$ .

$\frac{1}{24 \cdot 16}$

Step 3.5

Multiply $24$ by $16$ .

$\frac{1}{384}$

Step 4

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

$26.041\overline{6}$