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All rational numbers can be written as one integer (the numerator) over another integer (the denominator).

If the numerator is less than the denominator, it is a vulgar (or common) fraction.

If the denominator is 1, then only the numerator may be written in which case it may take the form of a whole number, eg 5/1 can also be written as 5.

If the numerator equals the denominator, the fraction can be simplified to 1/1 which would be written as the whole number 1.

If the numerator is greater than the denominator, then it is an improper (or top heavy) fraction and can be written as a mixed number which is a whole number along with a proper fraction (with the original denominator), eg 5/3 can also be written as 12/3

The denominator can be any non-zero integer, ie zero is not allowed to be the denominator of any fraction.

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