Question: a) Design and implement a Comparable Java class to represent a Rational number such as 3/2. Your class will have the following methods as well

 a) Design and implement a Comparable Java class to represent a

a) Design and implement a Comparable Java class to represent a Rational number such as 3/2. Your class will have the following methods as well as any other methods necessary (setters, getters, etc.). - A constructor that takes all parameters (numerator, denominator), - A function that returns the number of existing Rational objects, - Override the tostring method, - Methods for adding and multiplying Rational objects, - Your methods will throw exceptions if there are problems. b) Write another class to test your Rational class including the exceptions

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