Pre-Algebra Examples

$5.5 % \div 8.5$

Step 1

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

$5.5 \div \frac{8.5}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is $1$ number to the right of the decimal point, move the decimal point $1$ place to the right.

$\frac{\frac{55}{8.5}}{1000}$

Step 3

Reduce the fraction.

Tap for more steps...

Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{55}{8.5} \cdot \frac{1}{1000}$

Step 3.2

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.2.1

Factor $5$ out of $55$ .

$\frac{5 (11)}{8.5} \cdot \frac{1}{1000}$

Step 3.2.2

Factor $5$ out of $1000$ .

$\frac{5 \cdot 11}{8.5} \cdot \frac{1}{5 \cdot 200}$

Step 3.2.3

Cancel the common factor.

$\frac{5 \cdot 11}{8.5} \cdot \frac{1}{5 \cdot 200}$

Step 3.2.4

Rewrite the expression.

$\frac{11}{8.5} \cdot \frac{1}{200}$

Step 3.3

Multiply $\frac{11}{8.5}$ by $\frac{1}{200}$ .

$\frac{11}{8.5 \cdot 200}$

Step 3.4

Multiply $8.5$ by $200$ .

$\frac{11}{1700}$

Step 3.5

Cancel the common factor of $11$ and $1700$ .

Tap for more steps...

Step 3.5.1

Rewrite $11$ as $1 (11)$ .

$\frac{1 (11)}{1700}$

Step 3.5.2

Cancel the common factors.

Tap for more steps...

Step 3.5.2.1

Rewrite $1700$ as $1 (1700)$ .

$\frac{1 \cdot 11}{1 \cdot 1700}$

Step 3.5.2.2

Cancel the common factor.

$\frac{1 \cdot 11}{1 \cdot 1700}$

Step 3.5.2.3

Rewrite the expression.

$\frac{11}{1700}$

Step 4

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

$64.70588235 \dots$