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# Why is the reciprocal of a fraction less than one always a fraction greater than one?

Wiki User

2016-06-19 01:16:42

A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.

Wiki User

2016-06-19 01:16:42
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Wiki User

2016-06-18 18:23:44

The assertion is not true. For example, the fraction -1/2 is less than 1 but its reciprocal, -2, is not greater than 1. It is only true for POSITIVE fractions which are less than 1.