(Solved Homework): In a language that supports operator overloading, build support for rational numbers. Each number should be repres…

//Rational.java
public class Rational
{

private int numerator;
private int denominator;

//constructors
Rational()
{
numerator = 0;
denominator = 1;
}
Rational(int num, int den)
{
numerator = num;
denominator = den;
}

//getters
public int getNumerator()
{
return numerator;
}

public int getDenominator()
{
return denominator;
}

//modifiers
public void setNumerator(int num)
{
numerator = num;
}

public void setDenominator(int den)
{
denominator = den;
}

public String toString()
{
return numerator + “/” + denominator;
}

private int gcd(int num, int den)
{
int r;
while(den != 0)
{
r = num % den;
num = den;
den = r;
}
return num;
}

//add 2 rational numbers
public Rational add(Rational f)
{
int n;
int d;
n = (numerator * f.denominator) + (f.numerator * denominator);
d = denominator * f.denominator;
return new Rational(n/gcd(n, d),d/gcd(n, d));
}

//subtract 2 rational numbers
public Rational sub(Rational f)
{
int n;
int d;
n = (numerator * f.denominator)
– (f.numerator* denominator);
d= denominator * f.denominator;
return new Rational(n/gcd(n, d),d/gcd(n, d));
}

//multiply 2 rational numbers
public Rational mul(Rational f)
{
int n;
int d;
n = numerator * f.numerator;
d = denominator * f.denominator;
return new Rational(n/gcd(n, d),d/gcd(n, d));
}

public Rational div(Rational f)
{
int n;
int d;
n = numerator * f.denominator;
d = f.denominator * numerator;
return new Rational(n/gcd(n, d),d/gcd(n, d));
}
}

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/**
* The java program TestRational that tests
* the methods of Rational class
* */
//TestRational.java
public class TestRational
{
public static void main(String[] args)
{
//create two objects of type Rational
Rational r1=new Rational(1, 2);
Rational r2=new Rational(1, 2);

//print to console
System.out.println(“Rational,r1 = ”
+r1.toString());
System.out.println(“Rational,r2 = ”
+r2.toString());

System.out.println(“Additon of two rational numbers”);
//calling add method
System.out.println(r1.add(r2));
System.out.println(“Subtraction of two rational numbers”);
//calling sub method
System.out.println(r1.sub(r2));
System.out.println(“Multiplication of two rational numbers”);
//calling mul method
System.out.println(r1.mul(r2));
System.out.println(“Division of two rational numbers”);
//calling div method
System.out.println(r1.div(r2));
}
}

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Sample Output:

Rational,r1 = 1/2
Rational,r2 = 1/2
Additon of two rational numbers
1/1
Subtraction of two rational numbers
0/1
Multiplication of two rational numbers
1/4
Division of two rational numbers
1/1