How to Convert Fractions and Decimal Numbers to Percentages

Now you will learn to go from a fraction and decimal to percentages.

Rule

Fraction $\to$ percent

\frac{a}{100} = a %

This means that you can change the percentage sign with the fraction $\frac{1}{100}$ in the calculation. As in percentage we talk about parts of one hundred, you write it as a decimal by using the tenths and hundredths.

Example 1

Write $0.25$ as a fraction and as percentage.

\begin{array}{l} 0.25 & = \frac{25}{100} = \frac{25 : 25}{100 : 25} = \frac{1}{4} \\ 0.25 & = \frac{25}{100} = 25 \cdot \frac{1}{100} = 25 % \end{array}

Example 2

Write $0.75$ as a fraction and as percentage.

\begin{array}{l} 0.75 & = \frac{75}{100} = \frac{75 : 25}{100 : 25} = \frac{3}{4} \\ 0.75 & = \frac{75}{100} = 75 \cdot \frac{1}{100} = 75 % \end{array}

Example 3

Write $0.20$ as a fraction and as percentage.

\begin{array}{l} 0.20 & = \frac{20}{100} = \frac{20 : 20}{100 : 20} = \frac{1}{5} \\ 0.20 & = \frac{20}{100} = 20 \cdot \frac{1}{100} = 20 % \end{array}

Example 4

Write $0.80$ as a fraction and as percentage.

\begin{array}{l} 0.80 & = \frac{80}{100} = \frac{80 : 20}{100 : 20} = \frac{4}{5} \\ 0.80 & = \frac{80}{100} = 80 \cdot \frac{1}{100} = 80 % \end{array}

Example 5

Write $0.10$ as a fraction and as percentage.

\begin{array}{l} 0.10 & = \frac{10}{100} = \frac{10 : 10}{100 : 10} = \frac{1}{10} \\ 0.10 & = \frac{10}{100} = 10 \cdot \frac{1}{100} = 10 % \end{array}

Example 6

Write $0.37$ as a fraction and as percentage.

\begin{array}{l} 0.37 & = \frac{37}{100} \\ 0.37 & = \frac{37}{100} = 37 \cdot \frac{1}{100} = 37 % \end{array}

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Fraction → percent

Fraction $\to$ percent