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Egyptian Fractions Revisited
Volume 8, Issue 1 (2009), pp. 35–48
Olga KOSHELEVA   Vladik KREINOVICH  

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https://doi.org/10.15388/infedu.2009.03
Pub. online: 15 April 2009      Type: Article     

Published
15 April 2009

Abstract

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.

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Keywords
Egyptian fractions optimization educational impact

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