JAVA PROBLEM

Create a class called Rational for performing arithmetic with fractions.

Write a program to test your class.

Use integer variables to represent the private instance variables of the class - the numerator and the denominator.

Provide a constructor that enables an object of this class to be initialized when its declared.

The constructor should store the fraction in reduced form.

The fraction 2/4 is equivalent to 1/2 and would be stored in the object as 1 in the numerator and 2 in the denominator.

Provide a no-argument constructor with default values in case no initializers are provided.

Provide public methods that perform each of the following operations:

a) Add two Rational numbers: The result of the addition should be stored in reduced form.

b) Subtract two Rational numbers: The result of subtraction should be stored in reduced form.

c) Multiply two Rational numbers: The result of the multiplication should be stored in reduced form.

d) Divide two Rational numbers: The result of the division should be stored in reduced form.

e) Return a String representation of Rational number in the form ??/??, where ?? is the numerator and ?? is the denominator.

Here is a sample run:

Enter numerator for the first rational number: 4

Enter a non-zero denominator for the first rational number: 6

Enter numerator for the second rational number: 1

Enter a non-zero denominator for the second rational number: 4

First rational number is: 2/3

Second rational number is: 1/4

Addition of the rational numbers is: 11/12

Subtraction of the rational numbers is: 5/12

Multiplication of the rational numbers is: 1/6