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Egyptian Fraction Decomposition Calculator — result sheet
Decompose a positive rational number into a greedy sum of distinct unit fractions.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a/b, repeatedly choose the smallest unit fraction 1/u with 1/u≤a/b, subtract it, and reduce the remainder.
An Egyptian fraction writes a positive rational as a sum such as 4/13 = 1/4 + 1/18 + 1/468. The greedy algorithm is deterministic, while other valid decompositions may also exist.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Numerator — Enter a positive whole number.
- Denominator — Enter a positive whole number.
Worked example
| Input | Value |
|---|---|
| Numerator | 4 |
| Denominator | 13 |
4/13 = 1/4 + 1/18 + 1/468.
Assumptions and limits
- Numerator and denominator are positive whole numbers represented by decimal text.
- The input is reduced before the greedy steps begin.
- This page returns the greedy decomposition and does not enumerate every possible decomposition.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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