Converting decimals into percentages

Converting decimals into percentages

In converting decimals into percentages, first convert the decimal into a fraction. Thereafter, multiply the resulting fraction by 100%.

Example

Convert $0.6$ into percentage.

Solution

Convert the given decimal into a fraction with $100$ as a denominator.

First, write the decimal number into fraction as follows: $0.6 = \frac{6}{10}$

Multiply both the numerator and the denominator of $\frac{6}{10}$ by 10 to get 100 in the denominator.

$\frac{6}{10} = \frac{6 \times 10}{10 \times 10} = 60\%$

Alternatively, multiply $\frac{6}{10}$ by $100\%$ as follows: $\frac{6}{10} \times 100\% = \frac{600\%}{10} = 60\%$

Therefore, $0.6$ is equal to $60\%$.