Rational Arithmetic I
A rational number is a quotient of two integers. For example, 12/5, 12/–4, –3/4, and 4/6
are all rational numbers. A rational number is said to be in reduced form if its denominator
is positive and its numerator and denominator have no common divisor other than 1. For
example, the reduced forms of the rational numbers given above are 12/5, –3/1, –3/4,
and 2/3.
Write a class called Rational with a constructor Rational(int, int) that takes two
integers, a numerator and a denominator, and stores those two values in reduced form in
corresponding private members. The class should have a private member function void
reduce() that is used to accomplish the transformation to reduced form. The class should
have an overloaded insertion operator <>
class.