We can convert fractions, decimals, percentages, and ratios to one another.

For example, the fraction #\dfrac{1}{4}# is equal to the fraction #\dfrac{25}{100}#. This means that #\dfrac{1}{4}=25\%#. As a decimal number, this is #0.25#. The ratio is #1 : 4#.

We now see that fractions, decimals, percentages, and ratios are different ways to write the same thing.

We can use a combination of these different notations to perform calculations.

Example

\[\begin{array}{ccccc} &\text{fraction: }&&\dfrac{2}{5}& \\ \\ &\text{decimal: }&&0.4 &\\ \\ &\text{percentage: }&&40\%& \\ \\ &\text{ratio: }&&2:5 &\end{array}\]