UCLA Olga Radko Endowed Math Circle

10/8/2017 -- Beginners: Egyptian Fraction Representation I

We begin our exploration of Egyptian Fraction Representation by studying the details of unit fractions. How do they add? What types of fractions can they represent (all of them!)? We close off by analyzing a recursive algorithm which allows us to slowly construct any fraction by smaller and small unit fractions that will (hopefully) terminate at some point.