Algorithms for Egyptian Fractions

​
numerator
23
denominator
41
method
greedy
first denominator inharmonic method
2
allow dynamic resizing
23
41
=
1
2
+
1
17
+
1
465
+
1
648210
In ancient Egypt, a fraction was represented as a sum of fractions with numerator one. Any number has infinitely many Egyptian fraction representations, although there are only finitely many that have a given number of terms. Today many algorithms are known, each producing a different number of unit fractions, different size denominators (some of which can be very large), and different times to complete.

External Links

Egyptian Fraction (Wolfram MathWorld)
Ten Algorithms for Egyptian Fractions (Wolfram Library Archive)

Permanent Citation

Enrique Zeleny, David Eppstein
​
​"Algorithms for Egyptian Fractions"​
​http://demonstrations.wolfram.com/AlgorithmsForEgyptianFractions/​
​Wolfram Demonstrations Project​
​Published: October 4, 2007