(RationalNumbers) Create a class called Rational for performing arithmetic with fractions....

(RationalNumbers) 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

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. Implement this as a static method.

b) Subtract two Rational numbers: The result of the subtraction should be stored in reduced form. Implement this as a static method.

c) Multiply two Rational numbers: The result of the multiplication should be stored in reduced form. Implement this as a static method.

d) Divide two Rational numbers: The result of the division should be stored in reduced form. Implement this as a static method.

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

f) Return a String representation of a Rational number in floating-point format. (Consider providing formatting capabilities that enable the user of the class to specify the number of digits of precision to the right of the decimal point.)