/**
Alice Lee
Nov 2, 2009
methods: public/private | returning or not (int void fraction)
 */

public class Fraction
{
    private int num, den; // numerator and denominator

    public Fraction () // constructor
    {
    	num = 0;
    	den = 1; // default statement, denominator cannot be 0
    }

	public Fraction (int n, int d)
	{
		num = n;

		if (d != 0)
			den = d;

		else
			throw new IllegalArgumentException("Fraction cannot have 0 as denominator");

	}

	public Fraction (int n)
	{
		num = n;
		den = 1;
	}

	public Fraction (Fraction n)
	{
		num = n.num; // pulling num on n > putting into num
		den = n.den;
	}

	public Fraction fractionAdd (Fraction a)
     {
          {
          int newNom;
          int newDem;
               newNom = num * a.den + a.num * den;
               newDem = den * a.den;
       // System.out.print(newNom, newDem);
		return new Fraction(newNom, newDem);
          }
     }

     private int gcf(int a, int b)
     {
     	int d, e;
     	e=a;
     	d=b;


    	if (a<0)
     		e=-a;
     	if (b<0)
     		d=-b;



     	while (e!=d)
     	{if (e>d)
     		e=e-d;
     	else
     		d=d-e;
     	}
     	return d;
     	}

     public Fraction reduce()
     {
     	int x = gcf(num,den);
     	num = num/x;
     	den = den/x;

     	return new Fraction(num, den);
     }

     public void fractionPrint()
     {
     	System.out.println(num + "/"+ den);
     }


     public Fraction fractionSubtract (Fraction a)
     {
          {
          int newNom;
          int newDem;
               newNom = (num * a.den) - (a.num * den);
               newDem = den * a.den;
		return new Fraction(newNom, newDem);
          }
     }




     public static void main (String[] args)
     {
     	Fraction x = new Fraction(1,2);
     	Fraction y = new Fraction(3,4);
     	Fraction z = new Fraction(x.fractionAdd(y));
     	//x.fractionAdd(y);
     	x.fractionPrint();
     	y.fractionPrint();
     	z.fractionPrint();
     	z = z.reduce();
     	z.fractionPrint();

     	//y.fractionPrint();
     }





}