Definition:Rational Number/Fraction/Proper

Definition
A vulgar fraction is a rational number whose absolute value is less than $1$, expressed in the form $r = \dfrac p q$, where $p$ and $q$ are integers.

Examples

 * $\dfrac 1 2$ is a vulgar fraction.


 * $\dfrac {-3} 4$ is a vulgar fraction.


 * $\dfrac 6 {10}$ is a vulgar fraction, although not in canonical form.


 * $\dfrac 3 2$ is not a vulgar fraction, as its absolute value is greater than $1$: it is in fact an improper fraction.

Also known as
A vulgar fraction is also known as a proper fraction.

Also see

 * Definition:Improper Fraction
 * Definition:Mixed Number