成人快手

One number as a fraction of another

Imagine that there are \(10\) questions in a test and you get \(7\) of them correct. You would say that you got \(\frac{7}{{10}}\), because \(7\) as a fraction of \(10\) is \(\frac{7}{{10}}\)

In the same way, \(4\) as a fraction of \(12\) is \(\frac{4}{{12}}\) which cancels to \(\frac{1}{{3}}\)

Similarly \(20\) as a fraction of \(48\) is \(\frac{{20}}{{48}}\) which is \(\frac{{5}}{{12}}\)

Seems easy, but just be careful with the units.

For example, \(10p\) as a fraction of \(\pounds20\) is not: \(\frac{{10}}{{20}}\)

It is \(\frac{{10}}{{2000}}\) (because \(\pounds20\) is \(2000p\) and we must have the same units top and bottom).

This cancels to \(\frac{1}{200}\)

Similarly, \(30cm\) as a fraction of \(5m\) is \(\frac{{30}}{{500}}\) (because \(5m = 500cm\)).

This cancels to\(\frac{3}{50}\)

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