Algebra Examples

$7.75 %$

Step 1

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

$\frac{7.75}{100}$

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.

$\frac{775}{10000}$

Step 3

Cancel the common factor of $775$ and $10000$ .

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Step 3.1

Factor $25$ out of $775$ .

$\frac{25 (31)}{10000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $25$ out of $10000$ .

$\frac{25 \cdot 31}{25 \cdot 400}$

Step 3.2.2

Cancel the common factor.

$\frac{25 \cdot 31}{25 \cdot 400}$

Step 3.2.3

Rewrite the expression.

$\frac{31}{400}$