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Aliquot ratio

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aliquot fraction

A fraction of the type $1/n$, where $n$ is a natural number. It is essential, in solving several physical and mathematical problems, that each positive rational number is representable as a sum of a finite number of aliquot ratios, with different denominators. Thus, $3/11=1/6+1/11+1/66$. Aliquot ratios were extensively employed in Ancient Egypt and, as a result, received the name of Egyptian fractions.

How to Cite This Entry:
Aliquot ratio. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Aliquot_ratio&oldid=34545
This article was adapted from an original article by B.M. Bredikhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article