Create a Rational number class in Java using the same style as the Complex number class created in class.(The in class example code is below) That is, implement the following methods:constructoradd submuldivtoStringYou must also provide a Main class and main method to fully test your Rational number class. Example code:public class Main { public static void main(String[] args) { Complex a = new Complex(2.0, 3.0); Complex b = new Complex(1.0, 2.0); System. out. println(a + " + " + b + " = " + a. add(b)); System. out. println(a + " - " + b + " = " + a. sub(b)); System. out. println(a + " * " + b + " = " + a. mul(b)); System. out. println(a + " / " + b + " = " + a. div(b)); }}class Complex { public Complex(double re, double im) { real = re; imag = im; } public Complex add(Complex o) { return new Complex(real + o. real, imag + o. imag); } private Complex conjugate() { return new Complex(real, -imag); } public Complex div(Complex o) { Complex top = mul(o. conjugate()); Complex bot = o. mul(o. conjugate()); return new Complex(top. real / bot. real, top. imag / bot. real); } public Complex mul(Complex o) { return new Complex(real * o. real - imag * o. imag, real * o. imag + imag * o. real); } public Complex sub(Complex o) { return new Complex(real - o. real, imag - o. imag); } public String toString() { return "(" + real + " + " + imag + "i)"; } private double real; private double imag;}

Explanation:

/*

*    This program adds, subtracts, multiplies, and divides two rational numbers.

*/

public class Main {

  //Main method

   public static void main(String[] args) {

       Rational a = new Rational(3, 4);   // input for first rational number

       Rational b = new Rational(2 , 5);   // input for second rational number

       System.out.println(a + " + " + b + " = " + a.add(b));

       System.out.println(a + " - " + b + " = " + a.sub(b));

       System.out.println(a + " * " + b + " = " + a.mul(b));

       System.out.println(a + " / " + b + " = " + a.div(b));

   }

}

class Rational {

   public Rational(int num, int den) {

      numerator = num;

      denominator = den;

      //ensures a non-zero denominator

      if (den == 0)

          den =1;

      //stores a negative sign in numerator

      if (den < 0) {

          num = num * -1;

          den = den * -1;

      }

   }

   //return numerator

   public int getNumerator() {

      return numerator;

   }

   //return denominator

   public int getDenominator() {

      return denominator;

   }

   //return reciprocal method

   public Rational reciprocal() {

      return new Rational(denominator, numerator);

   }

   /*   Addition Class

    *        Find common denominator by multiplying the denominators

    *        Store number values (numerator / common denominator) as num1 and num2

    *        Sum both numbers

    */

   public Rational add(Rational r2) {

      int comDen = denominator * r2.getDenominator();

      int num1 = numerator * r2.getDenominator();

      int num2 = r2.getNumerator() * denominator;

      int sum = num1 + num2;

      return new Rational (sum, comDen);

   }

   //Subtraction Class - same implementation as Addition Class

   public Rational sub(Rational r2) {

     int comDen = denominator * r2.getDenominator();

     int num1 = numerator * r2.getDenominator();

     int num2 = r2.getNumerator() * denominator;

     int difference = num1 - num2;

     return new Rational (difference, comDen);

  }

  /*   Multiplication Class

   *        Multiply numerator with r2 numerator

   *        Multiply denominator with r2 denominator

   */

  public Rational mul(Rational r2) {

     int num = numerator * r2.getNumerator();

     int den = denominator * r2.getDenominator();

     return new Rational (num, den);

  }

  /*   Divide Class

   *        Multiply number by r2 reciprocal

   */

  public Rational div(Rational r2) {

      return mul (r2.reciprocal());

  }

  /*   toString Method

   *        Returns rational number as a string - in parenthesis if a fraction

   */

  public String toString() {

      return (((numerator == 0) ? "0" : ( (denominator == 1) ? numerator + "": "(" + numerator + "/" + denominator + ")")));

      /* Logic for toString method

      * if (num == 0) {

              return "0";

          } else {

              if (denominator == 1){

                  return numerator;

              } else {

                  return numerator + "/" + denominator;

              }

      */

   }

  // Declare variables

  private int numerator, denominator;

}

output

(3/4) + (2/5) = (23/20)                                                                                                                                      

(3/4) - (2/5) = (7/20)                                                                                                                                      

(3/4) * (2/5) = (6/20)                                                                                                                                      

(3/4) / (2/5) = (15/8)