package numeric;

public class Fraction implements Comparable<Fraction> {

public long a, b;

public Fraction(long a, long b) {

if (b < 0) {

a = -a;

b = -b;

}

long g = gcd(Math.abs(a), b);

if (g != 0) {

a /= g;

b /= g;

}

this.a = a;

this.b = b;

}

static long gcd(long a, long b) {

return b == 0 ? a : gcd(b, a % b);

}

public Fraction plus(Fraction o) {

return new Fraction(a * o.b + o.a * b, b * o.b);

}

public Fraction minus(Fraction o) {

return new Fraction(a * o.b - o.a * b, b * o.b);

}

public Fraction mul(Fraction o) {

return new Fraction(a * o.a, b * o.b);

}

public Fraction div(Fraction o) {

return new Fraction(a * o.b, b * o.a);

}

@Override

public int compareTo(Fraction o) {

return Long.compare(this.a * o.b, this.b * o.a);

}

@Override

public String toString() {

return a + "/" + b;

}

// Usage example

public static void main(String[] args) {

Fraction a = new Fraction(1, 2);

Fraction b = new Fraction(3, 5);

System.out.println(a.plus(b));

System.out.println(a.minus(b));

System.out.println(a.mul(b));

System.out.println(a.div(b));

}

}