it often simplifies arithmetic
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By solving the simultaneous equations the values of x and y should be equal to the given coordinate
There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.
You should not have any remainders in fractions!
it helps you find the distance between fractions because the new name should be an equivalent fraction. Therefore it should be able to be divided\multiplied by 2 to make the original number.
it should be your c value in equations