Representation and processing of fractions in a residue system

This paper proposes a scheme for the representation and processing of fractions in a residue system. The scheme is based on a mixed radix representation of a fraction in a residue, system. The algorithms for basic arithmetic operations of addition, subtraction, and multiplication involving fractions are developed and are shown to provide some improvement over an existing method. Application of these algorithms to division of two integers in the residue system has been shown.