 Unit fraction

A unit fraction is $1/n$ for a positive integer $n$. Its numerator is one, so it is already a reduced fraction; the denominator determines its value uniquely. For example, $1/2$ and $1/7$ are unit fractions, while $2/7$ is not.

Every unit fraction lies in $(0,1]$, including $1/1=1$. A rational number can have several expressions as a sum of unit fractions: $1/2=1/3+1/6$, for example. An Egyptian fraction requires such a finite representation, usually with distinct denominators.

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.