Basic Math Examples

8.2 %

$8.2 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{8.2}{100}

$\frac{8.2}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is

1

$1$ number to the right of the decimal point, move the decimal point

1

$1$ place to the right.

\frac{82}{1000}

$\frac{82}{1000}$

Step 3

Cancel the common factor of

82

$82$ and

1000

$1000$ .

Tap for more steps...

Step 3.1

Factor

2

$2$ out of

82

$82$ .

\frac{2 (41)}{1000}

$\frac{2 (41)}{1000}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor

2

$2$ out of

1000

$1000$ .

\frac{2 \cdot 41}{2 \cdot 500}

$\frac{2 \cdot 41}{2 \cdot 500}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 41}{2 \cdot 500}$

Step 3.2.3

Rewrite the expression.

$\frac{41}{500}$

Step 4

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

$0.082$