// Fraction.cpp - wdg 2009
#include "Fraction.h"

int gcd(int a,int b) 
{
   if(b==0)
      return a;
   else
      return gcd (b, a%b) ;
}


Fraction::Fraction(int whole) : numer(whole), denom(1) 
{
}
   
Fraction::Fraction(int n,int d) 
{
   if(d<0) {
      d=-d; n=-n;
   }
   int h = gcd(n<0?-n:n,d);
   numer=n/h;
   denom=d/h;
}

Fraction::Fraction(const Fraction & other) : numer(other.numer), denom(other.denom)
{
}

ostream & operator<< (ostream & out, const Fraction & fraction) 
{
   if(fraction.denom==1)
      out << fraction.numer;
   else 
      out << fraction.numer << "/" << fraction.denom;
   return out;
}

Fraction Fraction::operator+(const Fraction & other) const
{
   int newNumer = numer*other.denom + denom*other.numer;
   int newDenom = denom * other.denom;
   return Fraction(newNumer,newDenom);
}

Fraction Fraction::operator*(const Fraction & other) const
{ 
   int newNumer = numer*other.numer;
   int newDenom = denom * other.denom;
   return Fraction(newNumer,newDenom);
}

bool Fraction::operator==(const Fraction & other) const
{ 
   return (numer==other.numer && denom==other.denom);
}