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#include <iostream>

using namespace std;


// - 55 105
int GCD( int a, int b ) {

    while( b != 0 ) {
        int remain = a % b; // -55 % 105 = -55
        a = b; // a = 105
        b = remain; // b = -55
    }
    return a;
}


// класс обыкновенная дробь Fraction.
// операции сложения, вычитания, деления, умножения и сокращения.
class Fraction {

    // поля класса
    int num, denom;

    // метод коррекции дроби
    void Correct() {
        if ( denom < 0 )
            num = -num, denom = -denom;
        else if ( denom == 0 || num == 0 )
            num = 0, denom = 1;

        Reduce();

    }

  public:

    // конструктор с двумя параметрами
    Fraction(const int n = 0, const int d = 1) : num( n ), denom( d ) {
        Correct();
    }

    // метод сокращения дроби
    void Reduce() {
        int gcd = GCD( num, denom ); // 10 / 50 = 1 / 5

        num /= gcd, denom /= gcd;
    }

    void SetNum( const int num ) {
        this->num = num; // this - указатель на текущий объект класса


    }
    void SetDenom( const int denom) { // -2 / 5;  SetDenom( -10 ); -2 / -10 = 1 / 5
        this->denom = denom;
        Correct();
    }
    int GetNum() const {
        return num;
    }
    int GetDenom() const {
        return denom;
    }

    //перегрузка сложения f + other
    // параметр в скобках - это дробь справа от знака +
    // слева от знака + - это наш объект
    // Fraction f4 = f2 + f;
    Fraction operator+ ( const Fraction& other );
    Fraction operator- ( const Fraction& other );
    Fraction operator* ( const Fraction& other );
    Fraction operator/ ( const Fraction& other );
    Fraction operator+= ( const Fraction& other );
    Fraction operator-= ( const Fraction& other );
    Fraction operator*= ( const Fraction& other );
    Fraction operator/= ( const Fraction& other );
    bool operator== ( const Fraction& other );
    bool operator!= ( const Fraction& other );
    Fraction operator > ( const Fraction& other );
    Fraction operator < ( const Fraction& other );
    Fraction operator <= ( const Fraction& other );
    Fraction operator >= ( const Fraction& other );


    // >
    // <
    // <=
    // >=


};


Fraction Fraction::operator+ ( const Fraction& other ) {
    /*  f.num - other.num
      f.denom - other.denom
      num - f2.num
      denom - f2.denom*/
    Fraction res;
    res.num = other.denom * num + denom * other.num;
    res.denom = other.denom * denom;
    res.Reduce();
    return res;
    // f2  +  f
    // 1/2 + 1/3 = 5/6

    // 3 / 10  7 / 45
}

Fraction Fraction::operator- ( const Fraction& other ) {
    Fraction res;
    res.num = num * other.denom - other.num * denom;
    res.denom = other.denom * denom;
    res.Reduce();
    return res;
}


Fraction Fraction:: operator* ( const Fraction& other ) {
    Fraction res;
    res.num = num * other.num;
    res.denom = denom * other.denom;
    res.Reduce();
    return res;
}

Fraction Fraction::operator / ( const Fraction& other ) {
    Fraction res;
    res.num = num * other.denom;
    res.denom = denom * other.num;
    res.Reduce();
    return res;
}



Fraction Fraction::operator+= ( const Fraction& other ) {
    num = num * other.denom + denom * other.num;
    denom *= other.denom;
    Reduce();
    return *this;
}

Fraction Fraction::operator-= ( const Fraction& other ){
    num = num * other.denom - denom * other.num;
    denom *= other.denom;
    Reduce();
    return *this;
}

Fraction Fraction:: operator*= ( const Fraction& other ) {
    num = num * other.num;
    denom = denom * other.denom;
    Reduce();
    return *this;
}

Fraction Fraction::operator /= ( const Fraction& other ) {
    num = num * other.denom;
    denom = denom * other.num;
    Reduce();
    return *this;
}


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

// 1/2 != 3/4 = true
// 1/2 != 1/2 = false
bool Fraction::operator!= (const Fraction& other){
    return  !(*this == other) ;
}

Fraction Fraction:: operator > ( const Fraction& other ){
    if ( denom < other.denom )
        return true;
    return false;
}

Fraction Fraction:: operator < ( const Fraction& other ){
    if (( denom > other.denom ) || ( denom = other.denom && num < other.num ))
        return true;
    return false;
}
/*Fraction Fraction:: operator <= ( const Fraction& other ){
    if (( denom > other.denom ) || ( denom = other.denom && num < other.num ))
        return true;
    return false;
}*/

/*
double Avg( ... ){
    ...
    return sum / count;
}

int CountOdd( ... ){
    int counter;
    ....
    return counter;

}

Point MinPoint( Point* a, ... ){
    Point p;

    ....
    if Dist( a[ i ] < Dist( p ) )
        p = a[ i ];

    return p;
}*/

// перегрузка оператора вывода
ostream& operator<<(ostream& os, const Fraction& f) {
    os << f.GetNum() << "/" << f.GetDenom();
    return os;
}

// перегрузка оператора ввода
istream& operator>>(istream& is, Fraction& f) {
    int n, d;
    is >> n >> d;
    f.SetNum( n );
    f.SetDenom( d );
    return is;
}



int main() {

    int a = 0, b = 1;
    cout << GCD( a, b ) << endl;
    Fraction f( -50, -100 );

    Fraction f2( 3, 4 ); // 0 / 1
    // cout << 105 % (-55) << endl;
    // cout << f.GetNum() << "/"  << f.GetDenom() << endl; // 1/2
    cout << f << endl;

    Fraction f3;
    cout << "Input f3: ";
    cin >> f3;
    cout << f3 << endl;

    Fraction f4 = f2 + f; // 5 / 4
    cout << f4 << endl;

    Fraction f5 = f2 - f;
    cout << f5 << endl;

    Fraction f6 = f2 * f;
    cout << f6 << endl;

    Fraction f7 = f2 / f;
    cout << f7 << endl;

    f2 /= f;
    cout << f2 << endl;



    return 0;
}