java

2. 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.

2. 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 it's declared. The constructor should store the fraction in reduced form The fraction 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 b) Subtract two Rational numbers: The result of subtraction should be stored in reduced c) Multiply two Rational numbers: The result of the multiplication should be stored in d) Divide two Rational numbers: The result of the division should be stored in reduced e) Return a String representation of Rational number in the form a/b, where a is the form form reduced form form numerator and b 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