// Info
// Info

public class Main {

    public static void main(String[] args) {

        Rational a = new Rational(8,-7);
        Rational b = new Rational(4,6);

        System.out.println(a + " + " + b + " = " + a.addition(b));
        System.out.println(a + " - " + b + " = " + a.subtraction(b));
        System.out.println(a + " * " + b + " = " + a.multiplication(b));
        System.out.println(a + " / " + b + " = " + a.division(b));
    }
}

class Rational {

    private int num;
    private int denu;

    public Rational(int x, int y) {

        // Now there will never be a fraction with denominator 0
        if(y == 0){
            y = 1;
        }

        // if it is 3/-4; make it -3/4
        if(y < 0){
            y *= -1; // same thing as y = y * -1;
            x = x * -1;
        }


        num = x;
        denu = y;

        // Now reduce fractions so that 4/8 is stored as 1/2 instead
        reduce();
    }

    public int getNumerator(){
        return num;
    }

    public int getDenominator(){
        return denu;
    }

    public void setNumerator(int n){
        num = n;
    }

    public void setDenominator(int d){
        denu = d;
    }

    public Rational addition(Rational f) {

        Rational result;
        result = new Rational (num*f.denu + f.num*denu, denu*f.denu );
        return result;
    }

    public Rational division(Rational f) {


        Rational result;
        result = new Rational (num*f.denu, denu*f.num);
        return result;
    }

    public Rational multiplication(Rational f) {

        Rational result;
        result = new Rational (num*f.num,denu*f.denu);
        return result;
    }

    public Rational subtraction(Rational f) {

        Rational result;
        result = new Rational (num*f.denu - f.num*denu, denu*f.denu );
        return result;
    }

    public String toString() {

        return "(" + num + "/" + denu + ")";
    }

    private void reduce(){
        int x = num;
        if(x < 0){
            x *= -1;
        }
        int y = denu;
        int gcd = gcd(x, y);
        num /= gcd;
        denu /= gcd;
    }

    private int gcd(int x, int y){
        for(; x != y;){
            if(x > y){
                x -= y;
            }
            else{
                y -= x;
            }
        }
        return x;
    }

}