A tool that performs arithmetic operations on algebraic fractions where the numerator and denominator are polynomials. It takes as input two or more rational expressions, which are fractions containing polynomials, and outputs the simplified result of their sum or difference. For instance, it can combine (x+1)/(x-2) and (x-3)/(x+2) into a single simplified fraction.
These computational aids are essential for students, educators, and professionals working with algebra, calculus, and related fields. They expedite the often complex and time-consuming process of finding common denominators, combining numerators, and simplifying the resulting expressions. The historical context involves the automation of algebraic manipulation, transitioning from manual calculation to leveraging computer algebra systems, thereby reducing errors and increasing efficiency.