/*
 * Created by IntelliJ IDEA.
 * User: Iris Attensam
 * Matrikelnummer: 0126732
 * Beispielnr.: 3036
 * Date: 26.12.2002
 * Time: 18:55:52
 * To change template for new class use
 * Code Style | Class Templates options (Tools | IDE Options).
 */

class Fraction {
    int den, num;          //Fraction numerator, denominator

    Fraction(int n) {  //Constructor who converts an integer to a Fraction
        num = n;
        den = 1;
    }

    Fraction(int n, int d) { // constructor who creates a Fraction
        num = n;
        den = d;
        reduce();
    }


    Fraction add(Fraction f) {      //add together two fraction
        Fraction ff = new Fraction(num * f.den + den * f.num, den * f.den);
        return ff;
    }

    Fraction mult(Fraction f) {   // multiplies two fraction
        Fraction ff = new Fraction(num * f.num, den * f.den);
        return ff;
    }

    Fraction div(Fraction f) {  //dividies two fraction
        Fraction ff = new Fraction(num * f.den, den * f.num);
        return ff;
    }

    Fraction sub(Fraction f) {   // subtracts two fraction
        Fraction ff = new Fraction(num * f.den - f.num * den, den * f.den);
        return ff;
    }

    void print() {
        if (num == 0)
            eprog.EprogIO.print(0);
        else {
            eprog.EprogIO.print(num);
            eprog.EprogIO.print("/");
            eprog.EprogIO.print(den);
        }
        }

    int gdc(int n, int d) { // returns the greatest common divisor

        int rem = n % d;
        while (rem != 0) {
            n = d;
            d = rem;
            rem = n % d;
        }
        return d;
    }

    void reduce() { // reduce the Fraction via gdc
        int x = gdc(num, den);
        num /= x;
        den /= x;
        if (den < 0) {
            den *= -1;
            num *= -1;
        }
    }

    boolean less(Fraction f) { // true, if fraction less than f
        return (num * f.den < f.num * den);
    }

    boolean greater(Fraction f) { // true, if fraction greater than f
        return (num * f.den > f.num * den);
    }

    boolean lesseq(Fraction f) { // true, if fraction less than or equal f
        return (num * f.den <= f.num * den);
    }

    boolean greatereq(Fraction f) { // true, if fraction greater than or equal f
        return (num * f.den >= f.num * den);
    }

    boolean equalzero() {      //true, if numerator unequally 0
        return (num == 0);
    }
}