In a language that supports operator overloading, build support for rational numbers. Each number should be represented internally as a (numerator, denominator) pair in simplest form, with a positive denominator. Your code should support unary negation and the four standard arithmetic operators. For extra credit, create a conversion routine that accepts two floatingpoint parameters—a value and a error bound—and returns the simplest (smallest denominator) rational number within the given error bound of the given value.