A simple fraction class

fraction.cpp

// fraction.cpp, Kolby Heacock
// Description: A simple fraction class.

#include <iostream>
#include <cmath>
using namespace std;


// Fraction
//   takes two integers as parameters during construction
// Example:
//   Fraction fraction(4, 20);

class Fraction {
 private:
  int num, den;
 public:
  Fraction(int n, int d) {
    num = n;
    den = d;
  }

  // convert fraction object to double value
  operator double() const {
    return double(num) / double(den);
  }

  // string representation of fraction
  operator string() const {
    return to_string(num) + "/" + to_string(den);
  }

  // add fraction objects
  Fraction operator + (Fraction const &right) {
    return Fraction(num + right.num, (den + right.den) / 2);
  }

  // subtract fraction objects
  Fraction operator - (Fraction const &right) {
    return Fraction(num - right.num, (den + right.den) / 2);
  }

  // multiply fraction objects
  Fraction operator * (Fraction const &right) {
    return Fraction(num * right.num, (den + right.den) / 2);
  }

  // divide fraction objects
  Fraction operator / (Fraction const &right) {
    return Fraction(num / right.num, (den + right.den) / 2);
  }

  // modulo fraction objects
  Fraction operator % (Fraction const &right) {
    return Fraction(num % right.num, (den + right.den) / 2);
  }

  // add fraction object to double
  double operator + (double const right) {
    return double(num) / double(den) + right;
  }

  // subtract double from fraction object
  double operator - (double const right) {
    return double(num) / double(den) - right;
  }

  // multiply double with fraction object
  double operator * (double const right) {
    return (double(num) / double(den)) * right;
  }

  // divide double by fraction object
  double operator / (double const right) {
    return (double(num) / double(den)) / right;
  }

  // modulus of double by fraction object
  double operator % (double const right) {
    return fmod((double(num) / double(den)), right);
  }

  // add fraction object to int
  int operator + (int const right) {
    return int(num) / int(den) + right;
  }

  // subtract int from fraction object
  int operator - (int const right) {
    return int(num) / int(den) - right;
  }

  // multiply int with fraction object
  int operator * (int const right) {
    return (int(num) / int(den)) * right;
  }

  // divide int by fraction object
  int operator / (int const right) {
    return (int(num) / int(den)) / right;
  }

  // modulus of int by fraction object
  int operator % (int const right) {
    return fmod((int(num) / int(den)), right);
  }
};

int main() {
  Fraction f1(2, 5);
  Fraction f2(4, 5);
  Fraction f3(6, 7);
  Fraction f4(14, 7);

  cout << "Fractions can be added" << endl;
  cout << string(f2 + f3) << " = " << string(f2) << " + " << string(f3) << endl << endl;     // 10/6 = 4/5 + 6/7

  cout << "Fractions can be subtracted" << endl;
  cout << string(f3 - f1) << " = " << string(f3) << " - " << string(f1) << endl << endl;     // 4/6 = 6/7 - 2/5

  cout << "Fractions can be multiplied" << endl;
  cout << string(f3 * f1) << " = " << string(f3) << " * " << string(f1) << endl << endl;     // 3/6 = 6/7 / 2/5

  cout << "Fractions can be divided" << endl;
  cout << string(f4 / f1) << " = " << string(f4) << " / " << string(f1) << endl << endl;     // 4/6 = 6/7 / 2/5

  cout << "Fractions can be modulo'd" << endl;
  cout << string(f4 % f3) << " = " << string(f4) << " % " << string(f3) << endl << endl;     // 4/6 = 6/7 % 2/5
  
  cout << "Fractions can be used with floating point numbers" << endl;
  double sum = f3 + f2 + f1;
  cout << sum << " = " << string(f3) << " + " << string(f2) << " + " << string(f1) << endl;  // 2.4 = 6/7 + 4/5 + 2/5
  cout << f2 + 0.1 + 2.9 << " = " << string(f2) << " + " << 0.1 << " + " << 2.9 << endl;     // 3.8 = 4/5 + 0.1 + 2.9
  cout << f2 - 0.2 << " = " << string(f2) << " - " << 0.2 << endl;                           // 0.6 = 4/5 - 0.2
  cout << f2 * 2.0 << " = " << string(f2) << " * " << 0.2 << endl;                           // 1.6 = 4/5 * 0.2
  cout << f2 / 0.2 << " = " << string(f2) << " / " << 0.2 << endl;                           // 4 = 4/5 / 0.2
  cout << f4 % 3.0 << " = " << string(f4) << " % " << 3.0 << endl << endl;                   // 2 = 14/7 % 3

  cout << "Fractions can be used with integer numbers" << endl;
  int sum2 = f3 + f2 + f1;
  cout << sum2 << " = " << string(f3) << " + " << string(f2) << " + " << string(f1) << endl;  // 2 = 6/7 + 4/5 + 2/5
  cout << f4 + 2 + 5 << " = " << string(f4) << " + " << 2 << " + " << 5 << endl;              // 9 = 14/7 + 2 + 5
  cout << f4 - 1 << " = " << string(f4) << " - " << 1 << endl;                                // 1 = 14/7 - 1
  cout << f4 * 2 << " = " << string(f4) << " * " << 2 << endl;                                // 4 = 14/7 * 2
  cout << f4 / 2 << " = " << string(f4) << " / " << 2 << endl;                                // 1 = 14/7 / 2
  cout << f4 % 3 << " = " << string(f4) << " % " << 3 << endl << endl;                        // 2 = 14/7 % 3
  
  return 0;
}