Definition:Fraction/Mixed
< Definition:Fraction(Redirected from Definition:Mixed Number)
Jump to navigation
Jump to search
Definition
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 $p < q$.
Examples
- $1 \frac 1 2$ 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.
Sources
- 1938: A. Geary, H.V. Lowry and H.A. Hayden: Mathematics for Technical Students, Part One ... (previous) ... (next): Arithmetic: Chapter $\text I$: Decimals
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fraction
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): mixed fraction
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fraction
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): mixed fraction
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): fraction
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): mixed fraction
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): mixed numbers