Egyptian Fraction

An Egyptian fraction represents a positive rational number as a sum of distinct unit fractions—fractions with numerator 1, like 1/2 or 1/5—without repeating any. For example, the number 2/3 can be expressed as 1/2 + 1/6. This method dates back to ancient Egypt, where scholars used such representations for calculations and documentation. The challenge lies in finding such a sum for any given fraction, and mathematicians have developed algorithms to generate these decompositions. Egyptian fractions provide a unique perspective on breaking down fractions into simpler, non-overlapping parts.