#include <iostream> 
#include <cmath>  
using namespace std; 
 
class Rational {  
      public: 
             Rational (int n, int d); 
             Rational (); 
             void input(istream& in); 
             void output(ostream& out); 
             bool equal (Rational ratio2);
             bool less (Rational ratio2);
             Rational neg(); 
             Rational add(Rational ratio2); 
             Rational sub(Rational ratio2); 
             Rational mul(Rational ratio2); 
             Rational div(Rational ratio2); 
      private: 
              int n; 
              int d; 
      }; 
       
      int main () { 
          Rational ratio1, ratio2, ratio3; 
          bool isequal, isless;
          cout << "Enter your first rational number, numerator first followed by denominatior:\n"; 
          ratio1.input(cin); 
          cout << "Enter your second rational number, same method:\n"; 
          ratio2.input(cin); 
          cout << "Your first ratio is:"; 
          ratio1.output(cout); 
          cout << endl << endl;
          cout << "Your second ratio is:"; 
          ratio2.output(cout); 
          cout << endl << endl;
          cout << "Let's see if the two ratios are equal..." << endl;
          isequal = ratio1.equal(ratio2);
          if ( isequal == true )
             cout << "The fractions are equal.\n";
          else 
             cout << "The fractions are not equal.\n\n";
          cout << "How about if the first ratio is smaller than the second one..." << endl;
          isless = ratio1.less(ratio2);
          if ( isless == true ) 
             cout << "The first fraction is lesser than the second.\n";
          else 
             cout << "The first fraction is greater than the second.\n\n";
          cout << "If you were to add the two ratios, (a/b) + (c/d) =\n"; 
          ratio3 = ratio1.add(ratio2); 
          ratio3.output(cout); 
          cout << endl; 
          cout << "If you were to subtract the two ratios, (a/b) - (c/d) =\n"; 
          ratio3 = ratio1.sub(ratio2);
          ratio3.output(cout); 
          cout << endl; 
          cout << "Multiplying the two ratios, (a/b) * (c/d) =\n"; 
          ratio3 = ratio1.mul(ratio2); 
          ratio3.output(cout); 
          cout << endl;  
          cout << "Dividing the two ratios, (a/b) / (c/d) =\n"; 
          ratio3 = ratio1.div(ratio2);
          ratio3.output(cout); 
          cout << endl; 
          
           
          system("Pause."); 
          return 0; 
} 
 
void Rational::input(istream& in)
{   
    char slash; 
    in >> n; 
    in >> slash; 
    in >> d; 
    while ( d <= 0)
          {
              cout << "Invalid value for a denominator. Please post a positive value." << endl;
              cout << "For the denominator ONLY." << endl;
              in >> d;
              }
} 

Rational::Rational()
{ 
    n = 0;
    d = 0; 
} 
 
Rational::Rational(int a, int b)
  {  
   n = a;
   d = b; 
   } 
                       
 
void Rational::output(ostream& out) 
     { 
     out << n << "/" << d; 
     }
 
Rational Rational::neg(){ 
     Rational ratio3;
         
         ratio3.n = -(n);
         ratio3.d = d;
         
     return ratio3; 
         } 
Rational Rational::add(Rational ratio2){ 
     Rational ratio3;
     
        ratio3.n = (n * ratio2.d) + (d * ratio2.n);
        ratio3.d = (d * ratio2.d);
        
        return ratio3;
         } 
Rational Rational::sub(Rational ratio2){ 
     Rational ratio3;
              
              ratio3.n = (n * ratio2.d) - (d * ratio2.n);
              ratio3.d = (d * ratio2.d);
     
        return ratio3;
         } 
Rational Rational::mul(Rational ratio2){          
     Rational ratio3;
              ratio3.n = (n * ratio2.n);
              ratio3.d = (d * ratio2.d);
        return ratio3; 
         } 
Rational Rational::div(Rational ratio2){     
     Rational ratio3; 
              ratio3.n = (n * ratio2.d);
              ratio3.d = (d * ratio2.n); 
         return ratio3; 
         }
Rational Rational::equal(Rational ratio2){
         bool equal;
         if ( n = ratio2.n && d = ratio2.d )
            equal = true;
         else 
            equal = false;
         return equal;
         }
Rational Rational::less(Rational ratio2){
         bool less;
         if ( ( n * ratio2.d ) < ( d * ratio2.n ) )
            less = true;
         else 
            less = false; 
         return less;
         }