A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer. In other words, it can be expressed in the form \( \frac{1}{n} \), where \( n \) is a positive integer. For example, \( \frac{1}{2} \), \( \frac{1}{3} \), and \( \frac{1}{4} \) are all unit fractions.
Articles by others on the same topic
A unit fraction is for a positive integer . Its numerator is one, so it is already a reduced fraction; the denominator determines its value uniquely. For example, and are unit fractions, while is not.
Every unit fraction lies in , including . A rational number can have several expressions as a sum of unit fractions: , for example. An Egyptian fraction requires such a finite representation, usually with distinct denominators.