Function Repository Resource:

# EgyptianFraction

Compute Egyptian fractions using different methods

Contributed by: David Eppstein
 ResourceFunction["EgyptianFraction"][fraction] gets Egyptian fractions from fraction using different methods.

## Details and Options

Egyptian fractions give a fraction represented as a sum of fractions with numerator one.
Methods available include "Greedy", "Harmonic", "Odd Greedy", "Pairing", "Splitting", "Binary", "BinaryRemainder", "ContinuedFraction", "GroupedContinuedFraction" and "Hybrid".

## Examples

### Basic Examples (3)

Compute the Egyptian fractions for any fraction:

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Check the result:

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Display the result as a sum:

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### Options (9)

#### Method (9)

The method "Harmonic":

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The method "OddGreedy":

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The method "Pairing":

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The method "Splitting":

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The method "Binary":

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The method "BinaryRemainder":

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The method "ContinuedFraction":

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The method "GroupedContinuedFraction":

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The method "Hybrid":

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## Requirements

Wolfram Language 11.3 (March 2018) or above

## Version History

• 1.0.0 – 19 February 2019