Rational Numbers

In Java, create a Rational number class in the same style as the Complex number class created in class. That is, implement the following methods:

constructor

add

sub

mul

div

toString

You must also provide a Main class and main method to fully test your Rational number class. If you can please explain the process and the code, that would be better.

Complex number class created in class:

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 real, double imag) { this.real = real; this.imag = imag; } 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 < 0.0 ? " - " : " + ") + (imag < 0.0 ? -imag : imag) + "i)"; } private double real; private double imag; }