Definition:Rational Number/Fraction/Mixed Number

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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 $p < q$
$r = n + \dfrac p q$


$1 \frac 1 2$ 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.