Egyptian fractions were typically written in terms of unit fractions, that is, fractions with a numerator of 1. With the exception of a few common, simple fractions like 2/3, non-unit fractions were decomposed into sums of distinct unit fractions.
Examples:
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Write these fractions as Egyptian fractions:
One systematic way to find the Egyptian decomposition is to find the largest unit fraction that is smaller than the given fraction. If the remainder is not itself a unit fraction, keep repeating this process until you have a sum of unit fractions:
