Egyptian Fractions Revisited

It is well known that the ancient Egyptians represented each fraction as a sum of unit fractions - i.e., fractions with unit numerators; this is how they, e.g., divided loaves of bread. What is not clear is why they used this representation. In this paper, we propose a new explanation: crudely speak...

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Bibliographic Details
Main Authors: Olga KOSHELEVA, Vladik KREINOVICH
Format: Article
Language:English
Published: Vilnius University 2009-04-01
Series:Informatics in Education
Subjects:
Online Access:http://www.mii.lt/informatics_in_education/pdf/INFE145.pdf
Description
Summary:It is well known that the ancient Egyptians represented each fraction as a sum of unit fractions - i.e., fractions with unit numerators; this is how they, e.g., divided loaves of bread. What is not clear is why they used this representation. In this paper, we propose a new explanation: crudely speaking, that the main idea behind the Egyptian fractions provides an optimal way of dividing the loaves. We also analyze the related properties of fractions.
ISSN:1648-5831