Pre-Algebra Examples

$4.25 % \div 90$

Step 1

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

$4.25 \div \frac{90}{100}$

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.

$\frac{\frac{425}{90}}{10000}$

Step 3

Reduce the fraction.

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Step 3.1

Cancel the common factor of $425$ and $90$ .

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Step 3.1.1

Factor $5$ out of $425$ .

$\frac{\frac{5 (85)}{90}}{10000}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $5$ out of $90$ .

$\frac{\frac{5 \cdot 85}{5 \cdot 18}}{10000}$

Step 3.1.2.2

Cancel the common factor.

$\frac{\frac{5 \cdot 85}{5 \cdot 18}}{10000}$

Step 3.1.2.3

Rewrite the expression.

$\frac{\frac{85}{18}}{10000}$

Step 3.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{85}{18} \cdot \frac{1}{10000}$

Step 3.3

Cancel the common factor of $5$ .

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Step 3.3.1

Factor $5$ out of $85$ .

$\frac{5 (17)}{18} \cdot \frac{1}{10000}$

Step 3.3.2

Factor $5$ out of $10000$ .

$\frac{5 \cdot 17}{18} \cdot \frac{1}{5 \cdot 2000}$

Step 3.3.3

Cancel the common factor.

$\frac{5 \cdot 17}{18} \cdot \frac{1}{5 \cdot 2000}$

Step 3.3.4

Rewrite the expression.

$\frac{17}{18} \cdot \frac{1}{2000}$

Step 3.4

Multiply $\frac{17}{18}$ by $\frac{1}{2000}$ .

$\frac{17}{18 \cdot 2000}$

Step 3.5

Multiply $18$ by $2000$ .

$\frac{17}{36000}$

Step 4

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

$4.7\overline{2}$