$9\mathrm{.}6($Rational Class$)$ Create a class called Rational for performing arichmetic with fractions.Write a program to test your class. Use integer variables to represent the private data of the class the numerator and the denominator. Provide a constructor that enables an object of chis class to be inirialized when it's declared The constructor should contain defaule values in case no inicializers are provided and should store the fraction in reduced form. For example, the fractionAINwould be stored in the object as $1$ in the numerator and $2$ in the denominator. Provide public member functions that perform each of the following tasks:a$)$add$-$Adds two Rational numbers. The result should be stored in reduced form.b$)$subtract$-$Subtracts two Rational numbers. Store the resule in reduced form. nultiply$-$Multiplies two Rational numbers. Store the result in reduced form. divide$-$Divides two Rational numbers. The result should be stored in reduced form.e$)$toRationalString$-$Returns a string representation of a Rational number in the form a$/$b$,$ where a is the numerator and b is the denominator.f$)$toDouble$--$Returns the Rational number as a double.