FractionClass

class Fraction : IComparable
    {
        private long nominator;
        private long denominator;

        public long Nominator
        {
            get
            {
                return this.nominator;
            }
            set
            {
                this.nominator = value;
            }
        }

        public long Denominator
        {
            get
            {
                return this.denominator;
            }
            set
            {
                if (value == 0)
                {
                    throw new ArgumentException("Zero cannot be denominator!");
                }
                this.denominator = value;
            }
        }

        public Fraction(long nominator, long denominator)
        {
            this.Nominator = nominator;
            this.Denominator = denominator;

        }

        public Fraction() : this(1, 1)
        {
        }

        public Fraction(long numerator) : this(numerator, 1)
        {
        }
        public override string ToString()
        {
            if (this.Denominator == 1)
            {
                return this.Nominator.ToString();
            }
            else if (this.Nominator == 0)
            {
                return "0";
            }
            else if (this.Nominator * this.Denominator > 0)
            {
                return string.Format("{0}/{1}", Math.Abs(this.Nominator), Math.Abs(this.Denominator));
            }
            return string.Format("-{0}/{1}", Math.Abs(this.Nominator), Math.Abs(this.Denominator));
        }

        private long gcd(long a, long b)
        {
            if (b == 0)
            {
                return a;
            }
            return gcd(b, a % b);
        }

        public void Reduce()
        {
            long divider = gcd(this.Nominator, this.Denominator);
            this.denominator /= divider;
            this.nominator /= divider;
        }

        public int CompareTo(object obj)
        {
            Fraction other = (Fraction)obj;
            double comp = (double)this.Nominator / this.Denominator - (double)other.Nominator / other.Denominator;

            if (Math.Abs(comp) < 0.00001)
            {
                return 0;
            }
            else if (comp > 0)
            {
                return 1;
            }
            else
            {
                return -1;
            }
        }

        public static Fraction operator+(Fraction fr1, Fraction fr2)
        {
            Fraction fr = new Fraction();
            fr.Nominator = fr1.Nominator*fr2.Denominator + fr2.Nominator*fr1.Denominator;
            fr.Denominator = fr1.Denominator * fr2.Denominator;
            fr.Reduce();
            return fr;
        }

        public static bool operator<(Fraction fr1, Fraction fr2)
        {
            return fr1.CompareTo(fr2) == -1;
        }
        public static bool operator>(Fraction fr1, Fraction fr2)
        {
            return fr1.CompareTo(fr2) == 1; ;
        }

        public static bool operator <=(Fraction fr1, Fraction fr2)
        {
            return fr1.CompareTo(fr2) != 1; ;
        }
        public static bool operator >=(Fraction fr1, Fraction fr2)
        {
            return fr1.CompareTo(fr2) != -1; ;
        }

        public static bool operator ==(Fraction fr1, Fraction fr2)
        {
            return fr1.CompareTo(fr2) == 0; ;
        }
        public static bool operator !=(Fraction fr1, Fraction fr2)
        {
            return fr1.CompareTo(fr2) != 0; ;
        }
        public static Fraction operator-(Fraction fr1, Fraction fr2)
        {
            Fraction fr = new Fraction();
            fr.Nominator = fr1.Nominator * fr2.Denominator - fr2.Nominator * fr1.Denominator;
            fr.Denominator = fr1.Denominator * fr2.Denominator;
            fr.Reduce();
            return fr;
        }

        public static Fraction operator*(Fraction fr1, Fraction fr2)
        {
            Fraction fr = new Fraction();
            fr.Nominator = fr1.Nominator * fr2.Nominator;
            fr.Denominator = fr1.Denominator * fr2.Denominator;
            fr.Reduce();
            return fr;
        }

        public static Fraction operator /(Fraction fr1, Fraction fr2)
        {
            Fraction fr = new Fraction();
            fr.Nominator = fr1.Nominator * fr2.Denominator;
            fr.Denominator = fr1.Denominator * fr2.Nominator;
            fr.Reduce();
            return fr;
        }
    }