Proper Fractions

This short article is a continuation from the previous fractions article. It may be a good idea to read through it first. In this article we shall explore proper fractions.
A proper fraction is a type of fraction where the numerator (top number) is less than the denominator (bottom number). Below is an example of a popular proper fraction a quarter.
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We can illustrate the fraction using a pie shown below;
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An example of a proper fraction is ¾ which has also been illustrated below using a pie;
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Remember that the numerator represents the number of equal parts and the denominator indicates how many of those parts make up a whole. But note also when we rite ¼ or ¾ we’re indicating how many parts (numerator) have been ‘focused’, ‘chosen’ or ‘used’ out of all the parts which make up a unit or whole (denominator). Therefore a fraction representing the number of ‘chosen’ or ‘focused’ parts and not the size of each part, in the cake example explained previous…
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We can see that the ‘focused’, ‘chosen’, or cut part was 1 out of 4 parts that make up the entire unit or whole. So the ratio of chosen or cut was 1:4. 1 is not size of each part but rather the number of chosen parts out of 4. So be careful as this can sometimes cause confusion.

Number of chosen/focused parts out of the number of parts that make up a whole

The same applies for ¾. The ratio is 3:4. So three parts were affected out of all the 4 parts that were in the box