Math-Fraction-Egyptian

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Breaking the RMP 2/n table code is a central task for historians that wish to
learn Egyptian mathematics. Egyptians wrote rational numbers in two ways. The
first method acted like our modern rational numbers. The second method,
written in a unique manner, converted rational numbers to equivalent unit
fraction, sometimes optimized and sometimes not, to concise series.

The first, and second methods, are recorded in the Kahun Papyrus and the Rhind
Mathematical Papyrus. Both texts solved arithmetic progression problems by
using rational number differences. Egyptian fraction series were used to write
final answers. Arithmetic progressions, an algebra topic that followed
interesting formulas, will not be discussed. The second method, an arithmetic
topic, 2/n tables, listing optimized unit fraction series, will be discussed
in terms of a likely ancient unifying theme.

Overly analytical views of possible 2/n table methods, especially potential
2/35, 2/91 and 2/95 conversion methods have been suggested by scholars for
over 100 years. In 1995, an interesting internet paper suggested discussed the
2/35, 2/91 and 2/95 cases, as well as 2/17 and 2/19 table solutions written in
500 AD (Akhmim Papyrus). Overall, modern number theory's abstract analysis are
important. These analysis show that ancient Egyptian fractions were likely
well definedm and unified in several respects. But, what where the ancient



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