In general, a common fraction is said to be a proper fraction, if the absolute value of the fraction is strictly less than one-that is, if the fraction is greater than −1 and less than 1. This was explained in the 17th century textbook The Ground of Arts. The concept of an "improper fraction" is a late development, with the terminology deriving from the fact that "fraction" means "a piece", so a proper fraction must be less than 1. When the numerator and the denominator are both positive, the fraction is called proper if the numerator is less than the denominator, and improper otherwise. In Unicode, precomposed fraction characters are in the Number Forms block.Ĭommon fractions can be classified as either proper or improper.
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