Fractionally Better

Still working--or more honestly avoiding work--by working on the Fraction class. I found it much more complicated to overload the equality == operator than I thought it would be. First, you can't overload the == operator without also overloading the != operator. To make it work I also had to override the GetHash() method and the Equals() method. Though once I had done that, the operators were easy. It was also necessary to make sure I had a workable method to reduce the fraction, otherwise the comparison of say 1/2 to 2/4 would not return equal. Here are the methods

        public static bool operator ==(Fraction f1, Fraction f2)
        {
            
            return f1.Equals(f2);
        }

        public static bool operator !=(Fraction f1, Fraction f2)
        {


            return !f1.Equals(f2);
        }

        public static Fraction Reduce(Fraction fr)
        {
            int i;
            for (i=fr.Denominator;i>1;i--)
            {
              if(fr.Numerator % i ==0 && fr.Denominator % i == 0)
              {
              break;
              }

            }
            fr.Numerator=fr.Numerator/i;
            fr.Denominator=fr.Denominator/i;

            return fr;
         }

        


        public override int GetHashCode()
        {
            return Numerator ^ Denominator;
        }


        public override bool Equals(object obj)
        {
            bool result=false;
            if (obj == null)
                 result=false;

            if (GetType() != obj.GetType())
                result= false;

            Fraction fr = (Fraction)obj;
            fr = Reduce(fr);

            
            Fraction fr2 = new Fraction(this.Numerator, this.Denominator);
            fr2 = Reduce(fr2);

            this.Numerator = fr2.Numerator;
            this.Denominator = fr2.Denominator;

            if (this.Numerator == fr.Numerator && this.Denominator == fr.Denominator)
            {
                result = true;
            }

            return result;
        }

Now I just have the > and < operators to do, and to develop a good ToString method. I also want to overload the constructor.
As for the rest, I have been watering the lawn and looking forward to next weeks rain. The river poem flows on, approaching 20 pages.