To make the numbers involved in the ratio smaller and therefore (possibly) easier to comprehend. It also keeps teachers, schools and examiners happy ;).
At the same time, we spend a lot of effort looking for similar fractions. Finding percentages, for example, are instances when we are moving away from reducing fractions. For addition and subtraction of fractions we need to look for similar fractions which, again, is a move in the opposite direction.
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U have to do it in simplest form to get a smaller nuMber froM tHE OrIGiNaL NUMber
13/14 is in its simplest form.
you divide the numerator by the denominator, if you get the same to the other fractions, it is proportional. Another solution is if you reduce the two fractions to simplest form and they are the same, they are also proportional.
15
It depends on what types of fractions. But, just get the fraction down to the simplest form, or until you can't divide into it anymore. Ex. 28/7 in simplest form is 4/1