Pre-Algebra Examples

$273.6 \div 76 %$

Step 1

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

$273.6 \div \frac{76}{100}$

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.

$\frac{\frac{2736}{76}}{1000}$

Step 3

Reduce the fraction.

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Step 3.1

Cancel the common factor of $2736$ and $76$ .

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Step 3.1.1

Factor $76$ out of $2736$ .

$\frac{\frac{76 \cdot 36}{76}}{1000}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $76$ out of $76$ .

$\frac{\frac{76 \cdot 36}{76 (1)}}{1000}$

Step 3.1.2.2

Cancel the common factor.

$\frac{\frac{76 \cdot 36}{76 \cdot 1}}{1000}$

Step 3.1.2.3

Rewrite the expression.

$\frac{\frac{36}{1}}{1000}$

Step 3.1.2.4

Divide $36$ by $1$ .

$\frac{36}{1000}$

Step 3.2

Cancel the common factor of $36$ and $1000$ .

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Step 3.2.1

Factor $4$ out of $36$ .

$\frac{4 (9)}{1000}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $4$ out of $1000$ .

$\frac{4 \cdot 9}{4 \cdot 250}$

Step 3.2.2.2

Cancel the common factor.

$\frac{4 \cdot 9}{4 \cdot 250}$

Step 3.2.2.3

Rewrite the expression.

$\frac{9}{250}$

Step 4

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

$360$