Ancient Egyptian cultures expressed fractions using (distinct) unit fractions. For example they might have written 2/5 = 1/3 + 1/15. In addition to having practical applications for fair division problems, this interesting way of writing fractions raises many interesting mathematical questions which we will explore:
- How do you write a "regular" fraction as an Egyptian fraction?
- Can you write every fraction as an Egyptian fraction?
- How many unit fractions do you need to express 4/n for an arbitrary whole number n?