Algebra Examples

$82.5 %$

Step 1

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

$\frac{82.5}{100}$

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.

$\frac{825}{1000}$

Step 3

Cancel the common factor of $825$ and $1000$ .

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Step 3.1

Factor $25$ out of $825$ .

$\frac{25 (33)}{1000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $25$ out of $1000$ .

$\frac{25 \cdot 33}{25 \cdot 40}$

Step 3.2.2

Cancel the common factor.

$\frac{25 \cdot 33}{25 \cdot 40}$

Step 3.2.3

Rewrite the expression.

$\frac{33}{40}$