Difference between revisions of "Aliquot ratio"
From Encyclopedia of Mathematics
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| − | A fraction of the type | + | 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. |
Revision as of 09:36, 13 April 2014
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://encyclopediaofmath.org/index.php?title=Aliquot_ratio&oldid=31660
Aliquot ratio. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Aliquot_ratio&oldid=31660
This article was adapted from an original article by B.M. Bredikhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article