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Expanding fractions is most often needed when you want to bring two fractions together, because you would add them or subtract one from the other. Let's look at what this means exactly and how to do it!
What does the expansion of fractions mean?
When expanding fractions, it is important that the value of the fraction is the same. So, for example, if you want to expand \(1\over2\), it remains essentially the same as \(1\over2\), but it is written in a different way - e.g. in fourths, sixths, etc.
Expanding a fraction means multiplying the numerator and denominator of the fraction by the same number so that the value of the fraction does not change.
(If this is not entirely clear, first read the broken in pieces wrote the article!)
Let's see what this means in practice!
Expanding fractions step by step
Before you start expanding fractions, remember the following rule:
A fraction is expanded by multiplying both its numerator and denominator by the same non-zero integer.
To make it clearer, let's look at an example:
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Let's expand the \(1\over2\) already mentioned.
\(1\over2\)=\(1 - 2\over2 - 2\)=\(2\over4\)
\(1\over2\)=\(1·3\over2·3\)=\(3\over6\)
\(1\over2\)=\(1 - 4\over2 - 4\)=\(4\over8\)
If you look, in the examples above, all the fractions remain \(1\over2\\), just written in a different form.
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