Basic Math Examples

8.4 %

$8.4 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{8.4}{100}

$\frac{8.4}{100}$

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{84}{1000}

$\frac{84}{1000}$

Step 3

Cancel the common factor of

84

$84$ and

1000

$1000$ .

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Step 3.1

Factor

4

$4$ out of

84

$84$ .

\frac{4 (21)}{1000}

$\frac{4 (21)}{1000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

4

$4$ out of

1000

$1000$ .

\frac{4 \cdot 21}{4 \cdot 250}

$\frac{4 \cdot 21}{4 \cdot 250}$

Step 3.2.2

Cancel the common factor.

\frac{4 \cdot 21}{4 \cdot 250}

$\frac{4 \cdot 21}{4 \cdot 250}$

Step 3.2.3

Rewrite the expression.

\frac{21}{250}

$\frac{21}{250}$

\frac{21}{250}

$\frac{21}{250}$

\frac{21}{250}

$\frac{21}{250}$

Step 4

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

0.084

$0.084$