🔺 Egyptian Fractions Calculator
Convert fractions to sum of distinct unit fractions
How to Use This Calculator
1
Enter Fraction
Enter numerator and denominator (numerator must be smaller).
2
Click Convert
Press the button to generate Egyptian fraction representation.
3
View Results
See the sum of distinct unit fractions (1/n form).
About Egyptian Fractions
Egyptian fractions use only unit fractions (1/n):
3/7 = 1/3 + 1/11 + 1/231
5/6 = 1/2 + 1/3
4/5 = 1/2 + 1/4 + 1/20
All denominators are distinct unit fractions.
About Egyptian Fractions Calculator
Egyptian fractions express fractions as sums of distinct unit fractions (fractions with numerator 1). Ancient Egyptians used this notation extensively.
When to Use This Calculator
- Number Theory: Study Egyptian fraction representations
- History: Understand ancient Egyptian mathematics
- Education: Learn unit fraction decompositions
- Research: Explore fraction representations
Why Use Our Calculator?
- ✅ Greedy Algorithm: Uses optimal algorithm
- ✅ Instant Results: Convert quickly
- ✅ Educational: Learn Egyptian math
- ✅ Completely Free: No registration required
Frequently Asked Questions
What are Egyptian fractions?
Egyptian fractions express any fraction as a sum of distinct unit fractions (1/n). Used by ancient Egyptians.
Are Egyptian fractions unique?
No, a fraction can have multiple Egyptian representations. The greedy algorithm finds one solution.