(Rational Numbers) 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...

(Rational Numbers)  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.)