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

$n$ is an integer
$\dfrac p q$ is a proper fraction, that is, $p$ and $q$ are integers such that $p < q$.


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

Also known as

A mixed fraction is also known as a mixed number.

The terms are interchangeable.

Also see

  • Results about mixed fractions can be found here.