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In addition to the revision notes for Percentages, Fractions and Decimals on this page, you can also access the following Percentages learning resources for Percentages, Fractions and Decimals
| Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
|---|---|---|---|---|---|---|
| 5.2 | Percentages, Fractions and Decimals |
In these revision notes for Percentages, Fractions and Decimals, we cover the following key points:
It is simple to convert decimal fractions into percentages, as fractions of this type are easy to transpose with denominator 100. However, if the fractions involved are not decimal, it is possible to turn them into a decimal through a few steps using equivalent fractions.
To convert decimals into percentages, we must first write them as decimal fractions and then make all denominators equal to 100. When done, we can write the values as percentages.
In many cases, it is impossible to find an exact value when converting a non-decimal fraction into decimal, so we use the approximations which allow us to stop at the desired number of decimal places. This decimal obtained is eventually converted into percentage. The advantage of expressing fractions as percentages is evident when encountering daily life situations.
We can convert percentages into fractions and eventually into decimals by using the inverse procedure of the above. Thus, percentages are first converted into decimal fractions with a denominator of 100, then as decimals if necessary.
Since percentages, fractions and decimals converge in the fact that all of them have the same methods of expressing amounts (especially non-whole ones), it is important to know how to compare amounts expressed in all these ways. To do this you have to transform all numbers to have the same method of expression. This means you have to write all numbers as percentages or express all them as fractions or as decimals. After doing this, the comparison is very easy.
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