How to Use

1. Enter the numerator (top number) of your fraction
2. Enter the denominator (bottom number) of your fraction
3. Click "Convert to Egyptian Fractions" to see the result
4. The calculator will show the Egyptian fraction representation and calculation steps

What are Egyptian Fractions?

Egyptian fractions are a way of writing fractions as a sum of distinct unit fractions (fractions with numerator 1). For example:

The ancient Egyptians used this system for their calculations, and it has interesting mathematical properties.

Properties

• Every positive rational number can be expressed as a sum of distinct unit fractions
• The representation is not unique (there can be multiple ways to write the same fraction)
• The greedy algorithm always produces a finite representation
• Egyptian fractions have applications in number theory and combinatorics

Applications

• Historical mathematics education
• Number theory research
• Fraction decomposition problems
• Understanding ancient Egyptian mathematics