1.3 Writing a fraction as a percentage

Using the same idea that multiplication by 100 per cent means multiplication by 1, you can also convert fractions into percentages.

So if you want to convert 3/25 to a percentage, it can be shown as follows:

Writing a fraction as a percentage is discussed in the following pencast.

• Writing a fraction as a percentage [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]
• Transcript

As an alternative, you can turn the fraction into a decimal first, and then move the decimal point:

Example: .

As with a lot of maths there are other alternative ways to convert a fraction into a percentage. You can also multiply the fraction by , as shown in the example below:

There are other alternative ways, such as multiplying the numerator and denominator of the fraction to be converted by , shown in this example:

For this last example, note that the fraction can be expanded by multiplication so that the denominator is turned into 100. For some fractions, this gives you another alternative for the conversion. For this last example, it looks like this: