Notation of Fractions
This chapter discusses the development of the ancient Egyptian concept of fractions. The beginnings of fractions in ancient Egypt consisted of a small group of specific fractions written by special signs. These fractions are first attested within the context of metrological systems, but they retain their notation in later times as abstract fractions. The list of earliest fractions comprises 1/2, 1/3, and 1/4, and it may be inferred that fractions came to be understood as the inverses of integers. As a consequence, the Egyptian notation of fractions did not consist of numerator and denominator but rather of the respective integer of which the fraction was the inverse and a symbol to designate it as an inverse, that is, a fraction. Following the concept of fractions as inverses of integers, the next step would have been to express parts that consist of more than one of these inverses. This was done by (additive) juxtaposition of different inverses.