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AWT pg 1

The AWT explains the Egyptian shorthand division remainder system. In addition it touches on Egyptian arithmetic operations, especially division. The division facts reveal that remainders were always written exactly as Egyptian fraction series, allowing for zero round off when working within the domain of rational numbers.

The AWT specifically shows that a hekat unity (64/64) OR 1 was divided/partitioned by 3, 7, 10, 11 and 13. Written in our base ten system this is the sum of two terms, a quotient plus a remainder Q/64 + R/(n*64)

 1. 1/3 = (64/64)/3 = 21/64 + 1/(3*64) 2. 1/7 = (64/64)/7 = 9/64 + 1/(7*64) 3. 1/10 = (64/64)/10 = 6/64 + 4/(10*64) 4. 1/11 = (64/64)/11 = 5/64 + 9/(11*64) 5. 1/13 = (64/64)/13 = 4/64 + 12/(13*64)

references: correspondences with Milo Gardner; AWT blog; Math Forum; 46 Lessons in Early Geometry;

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