///////   file Fraction.h   ///////
#include <iostream.h>

class Fraction
{  public:
     Fraction() { }  // null constructor
     // constructor, d is not zero
     Fraction(int n, int d, int reduce = 1);
     void display()
     {    cout << num << "/" << denom;
     }
     int operator==(const Fraction& y)
     {    return( num == y.num && denom == y.denom );
     }
     Fraction operator+  (const Fraction& y);
     Fraction operator-  ();  // unary negation
     Fraction operator-  (const Fraction& y);
     Fraction operator*  (const Fraction& y);
     Fraction operator/  (const Fraction& y);
     int operator>  (const Fraction& y);
     int operator<  (const Fraction& y);
     int operator>= (const Fraction& y);
     int operator<= (const Fraction& y);
     int is_zero() { return(denom == 1 && num == 0); }
     int is_one()  { return(denom == 1 && num == 1); }
     int is_int()  { return(denom == 1); }
     int floor();
     int ceiling();
   private:
     int num;             // numerator
     unsigned int denom;  // denominator
};