Chapter 11, Problem 9PC

Rational Arithmetic II

Modify the class Rational of Programming Challenge 8 to add overloaded operators +, −,*, and ∕ to be used for addition, subtraction, multiplication, and division. Test the class by reading and processing from the keyboard (or from a file) a series of rational expressions such as

2 ∕ 3 + 2 ∕ 8

2 ∕ 3 $*$ − 2 ∕ 8

2 ∕ 3 – 2 ∕ 8

2 ∕ 3 ∕ 2 ∕ 8

To facilitate parsing of the input, you may assume that numbers and arithmetic operators are separated by whitespace.