/* [0] CONSTRUCTEUR
=========================================================*/
ZFraction::ZFraction(int a, int b) : _a(a), _b(b){}



/* [1] Getters
=========================================================*/
ostream& operator<<(ostream& o, const ZFraction& f){
	o << "(" << f._a << "/" << f._b << ")";

	return o;
}



/* [2] Operateurs
=========================================================*/
	/* (1) Addition */
	ZFraction ZFraction::operator+(const ZFraction& x) const{
		int new_a = _a * x._b + _b * x._a;
		int new_b = _b * x._b;

		return ZFraction(new_a, new_b);
	}

	ZFraction& ZFraction::operator+=(const ZFraction& x){
		*this = *this + x;
		return *this;
	}

	/* (2) Multiplication */
	ZFraction ZFraction::operator*(const ZFraction& x) const{
		int new_a = _a * x._a;
		int new_b = _b * x._b;

		return ZFraction(new_a, new_b);
	}

	ZFraction& ZFraction::operator*=(const ZFraction& x){
		*this = *this * x;
		return *this;
	}