// Page 158-160

public class Fraction
{
	private int nume,deno;
	private void reduce() // reduce to lowest form
	{
		int n = nume;
		int d = deno;
		while(d != 0)
		{
			int r = n % d;
			n = d;
			d = r;
		}
		if (n != 0)
		{
			nume /= n;
			deno /= n;
		}
		if (deno < 0)
		{
			nume *= (-1);
			deno *= (-1);
		}
	}
	public Fraction()
	{
		nume = 0;
		deno = 1;
	}
	public Fraction (int n, int d)
	{
		nume = n;
		deno = d;
	}
	public void set (int n, int d)
	{
		nume = n;
		deno = d;
	}
	public Fraction add(Fraction x)  // this + x ==> add
	{
		Fraction temp = new Fraction(this.nume*x.deno+this.deno*x.nume,this.deno*x.deno);
		temp.reduce();
		return temp;
  }
	public Fraction sub(Fraction x)  // this - x ==> sub
	{
		Fraction temp = new Fraction(this.nume*x.deno-this.deno*x.nume,this.deno*x.deno);
		temp.reduce();
		return temp;
  }
	public Fraction mult(Fraction x)
	{
		Fraction temp = new Fraction(nume*x.nume, deno*x.deno);
		temp.reduce();
		return temp;
  }
	public Fraction div(Fraction x)
	{
		Fraction temp = new Fraction(nume*x.deno, deno*x.nume);
		temp.reduce();
		return temp;
  }
	 public void writeOut()
	{
		reduce();
		System.out.print(nume + "/" + deno);
	}
	public double evaluate ()
	{	return (double)nume/deno;  }
}