#include <iostream>  
#ifndef CONTEST  
#include "fullratio.hpp"  
#endif  
using namespace std;  
  
std::ostream& operator << (std::ostream &out, const rational &x) {  
     out<<x.nom<<"/"<<x.den;  
     return out;  
 }  
  
  
int rational::gcd(int a, int b) {    
  if(a<0) a=(-1)*a;    
  if(b<0) b=(-1)*b;    
          
  while(a>0 && b>0) {    
    if(a>b) a=a%b;    
    else b=b%a;    
  }    
  return a+b;    
}  
  
rational::rational (int n, int d) {    
  int mkd=gcd(n, d);    
  nom=n/mkd;    
  den=d/mkd;    
  if(den<0){    
    nom=(-1*nom);    
    den=(-1*den);    
  }    
}  
  
rational operator + (const rational &x, const rational &y) {  
  int arithm=((x.nom)*(y.den))+((y.nom)*(x.den));    
  int parono=((x.den)*(y.den));  
    
  int a=arithm;  
  int b=parono;  
  if(a<0) a=(-1)*a;  
  if(b<0) b=(-1)*b;  
    
  int c=rational::gcd(a,b);
  return ( rational(arithm/c, parono/c) );    
}    
  
  
rational operator - (const rational &x, const rational &y) {  
  int arithm=((x.nom)*(y.den))-((y.nom)*(x.den));  
  int parono=((x.den)*(y.den));  
  
  int a=arithm;  
  int b=parono;  
  if(a<0) a=(-1)*a;  
  if(b<0) b=(-1)*b;  
  
  int c=rational::gcd(a,b);
  
  return ( rational(arithm/c, parono/c) );  
}  
  
rational operator * (const rational &x, const rational &y) {  
  int arithm=((x.nom)*(y.nom));  
  int parono=((x.den)*(y.den));  
  int a=arithm;  
  int b=parono;  
  if(a<0) a=(-1)*a;  
  if(b<0) b=(-1)*b;  

  int c=rational::gcd(a,b);             
  
  return ( rational(arithm/c, parono/c) );  
}  
  
rational operator / (const rational &x, const rational &y) {  
  int arithm=((x.nom)*(y.den));  
  int parono=((x.den)*(y.nom));  
  int a=arithm;  
  int b=parono;  
  if(a<0) a=(-1)*a;  
  if(b<0) b=(-1)*b;  

  int c=rational::gcd(a,b); 
  
  return ( rational(arithm/c, parono/c) );  
}