古埃及分数 Egyptian fraction
（重定向自Egyptian Fractions）
古埃及分数是不同的单位分数的和，就是分子为1，分母为各不相同的正整数。任何正有理数都能表达成这一个形式。
Egyptian Fractions
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Egyptian fraction 古埃及分数
（重定向自Egyptian Fractions）
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An Egyptian fraction is a finite sum of distinct unit fractions, such as 
. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other. The value of an expression of this type is a positive rational number a/b; for instance the Egyptian fraction above sums to 43/48. Every positive rational number can be represented by an Egyptian fraction. Sums of this type, and similar sums also including 2/3 and 3/4 as summands, were used as a serious notation for rational numbers by the ancient Egyptians, and continued to be used by other civilizations into medieval times. In modern mathematical notation, Egyptian fractions have been superseded by vulgar fractions and decimal notation. However, Egyptian fractions continue to be an object of study in modern number theory and recreational mathematics, as well as in modern historical studies of ancient mathematics.
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