#include <iostream>
#include <algorithm> 
#include "Rational.h"

using namespace std;


Rational::Rational() {
  num = 0;
  den = 1;
}

Rational::Rational(int n, int d) { 
  num = n;
  den = d;
}

void Rational::reduce() { 
  int g = __gcd(num,den);
  num /= g;
  den /= g;
}

Rational Rational::sum(const Rational &b) const {
  return Rational(num * b.den + den * b.num, den * b.den);
} 

Rational Rational::operator+(const Rational &b) const {
  return Rational(num * b.den + den * b.num, den * b.den);
} 

double Rational::operator+(double b) const {
  return real() + b; 
}

Rational Rational::operator*(const Rational &b) const {
  return Rational(num *  b.num, den * b.den);
} 


bool Rational::gt(const Rational &b) const {
  return num * b.den > den * b.num;
}

bool Rational::operator>(const Rational &b) const {
  return num * b.den > den * b.num;
}



void Rational::display() const {
  cout << num << " / " << den << endl;
}


double Rational::real() const {
  return static_cast<double>(num) / den;
}


double operator+(double a, const Rational &b) {
    return a + b.real();
}