import java.util.Scanner;


/*-----------------------------STEG_1----------------------------------------*/

public class RatNum {
    private int denominator;
    private int numerator;
    private int heltal;


    public static int sgd (int m, int n){
        if (m == 0 || n == 0){
            throw new IllegalArgumentException("Error sgd, m or n is 0.");
        }
        m = Math.abs(m);
        n = Math.abs(n);
        int r = m % n;
        while(r != 0){
            m = n;
            n = r;
            r = m % n;
        }
        return n;
    }

    /*-----------------------------STEG_2-----------------------------------*/

    public RatNum(){
        numerator = 0;
        denominator = 1;
    }

    public RatNum(int a){

        numerator = a;
        denominator = 1;
    }

    public RatNum(int a, int b){

        if (b == 0){
            throw new NumberFormatException("Denominator = 0");
        }

        if(b<0){
            a = -a;
            b = -b;
        }

        if(a==0){
            numerator = a;
            denominator = b;
        }
        else{
            numerator  = a/RatNum.sgd(a,b);
            denominator = b/RatNum.sgd(a,b);
        }

    }

    public RatNum(RatNum r){                   /*Koperingskonstruktorn*/
        numerator=r.numerator;
        denominator=r.denominator;

    }

    public int getNumerator(){
        return numerator;
    }

    public int getDenominator(){
        return denominator;

    }

    /*-----------------------------STEG_3-----------------------------------*/

    @Override
    public String toString(){

        if(numerator > denominator){

            heltal = numerator/denominator;
            numerator = numerator%denominator;
            String tal = heltal + " " + numerator + "/" + denominator;
            return tal;
        }

        if(numerator < 0 || denominator < 0){
            heltal = numerator/denominator;
            if (heltal != 0){
                numerator = -numerator%denominator;
                String tal = heltal + " " + numerator + "/" + denominator;
                return tal;
            }
        }

        String tal = numerator + "/" + denominator;
        return tal;
    }

    public double toDouble(){

        double tal = (double) numerator/ (double) denominator;
        return tal;
    }


    public static RatNum parse(String s){


        if(!s.contains("/")){
            s = s +"/1";
        }

        String num = s.substring(0, s.indexOf("/"));
        String den = s.substring(s.lastIndexOf("/")+1);
        int a = Integer.parseInt(num);
        int b = Integer.parseInt(den);
        return new RatNum(a,b);
    }

    public RatNum (String c){
        this(RatNum.parse(c));

    }

    public Object clone(){

        return new RatNum(numerator, denominator);

    }

    public boolean equals(RatNum r){

        if (r == null){
            throw new IllegalArgumentException("Error. The value you entered is null");
        }

        return(r.numerator == numerator && r.denominator == denominator);
    }

    public boolean lessThan(RatNum r){

        int num1 = numerator * r.denominator;
        int num2 = r.numerator * denominator;

        return(num1 < num2);

    }

    public RatNum add(RatNum r){

        numerator   = (numerator*r.denominator) + (denominator*r.numerator);
        denominator = (denominator * r.denominator);

        return new RatNum(numerator,denominator);

    }

    public RatNum sub(RatNum r){

        numerator   = (numerator*r.denominator) - (denominator*r.numerator);
        denominator = (denominator * r.denominator);

        return new RatNum(numerator, denominator);
    }

    public RatNum mul(RatNum r){

        numerator   = (numerator*r.numerator);
        denominator = (denominator * r.denominator);

        return new RatNum(numerator, denominator);
    }

    public RatNum div(RatNum r){
        numerator   = (numerator*r.denominator);
        denominator = (denominator * r.numerator);

        return new RatNum(numerator, denominator);
    }
}