Ancient Egyptians used only "unit fractions," whose numerator was always 1 (1/2, 1/3, 1/4...). So how did they express fractions like 2/3? They made them by adding several different unit fractions together! Enter any fraction and break it down yourself.
Greedy algorithm: Each time, subtract the largest unit fraction that is less than or equal to the remaining fraction. Repeat this until nothing remains, and a sum of distinct unit fractions is automatically completed. (Fibonacci was the first person to prove this method!)
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💡 It has been proven that Egyptian fractions always end as a sum of a finite number of unit fractions (because the numerator must decrease each time). However, the number of fractions can become very large.