# Definition:Rational Number/Fraction/Mixed Number

(Redirected from Definition:Mixed Fraction)

## Definition

A mixed number is a rational number whose absolute value is greater than $1$, expressed in the form $r = n \frac p q$ where:

$p$ and $q$ are integers such that $p < q$
$r = n + \dfrac p q$

## Examples

$1 \frac 1 2$ is a mixed number.
$\dfrac {-5} 4$ is not a mixed number: it is an improper fraction.

## Also known as

A mixed number is also known as a mixed fraction. The terms are interchangeable.