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Egyptian decompositions of 2/D as a sum of two unit fractions are studied bymeans of certain divisors of D, namely r and s. Our analysis does not concernthe method to find r and s, but just why the scribes have chosen a solutioninstead of another. A comprehensive approach, unconventional, is developedwhich implies having an overview of all pre-calculated alternatives. Differences-r is the basis of the classification to be examined before taking the rightdecisions, step by step, if difficulties are encountered. An adequateadjustment of s-r limits the number of all alternatives to 57, what is veryfew. A four-component generator (2/3, 2/5, 2/7, 2/11) operates as a (hidden)mother-table. Adding few logical rules of common sense is enough to explain thereasons of the Egyptian choices. Even the singular case 2/95, which can not bedecomposed into two fractions but only into three, reveals a doubly justifiedexplanation.

Remarks on the Egyptian 2/D table in favor of a global approach (D composite number)