// -------------------------------------------------------------------------------------------------
// Fraction class
// -------------------------------------------------------------------------------------------------
class Fraction {
  private:
    int fNumerator;
    int fDenominator;
    int gcd(int x, int y);
  protected:
    void normalize();
  public:
    Fraction() { fNumerator=0; fDenominator=1; }
    Fraction(int numerator, int denominator);
    Fraction(int number);
    Fraction(const Fraction& from);
    void assign(const Fraction& operand);
    Fraction add(const Fraction& operand) const;
    Fraction sub(const Fraction& operand) const;
    Fraction mult(const Fraction& operand) const;
    Fraction div(const Fraction& operand) const;
    void add2(const Fraction& operand);
    void sub2(const Fraction& operand);
    void mult2(const Fraction& operand);
    void div2(const Fraction& operand);
    int numerator() const { return fNumerator; }
    int denominator() const { return fDenominator; }
    double value() const { return ( static_cast<double>(fNumerator)/fDenominator); }
    bool equals(const Fraction& operand) const;
    bool equalsNot(const Fraction& operand) const;
    bool leq(const Fraction& operand) const;
    bool geq(const Fraction& operand) const;
} ;
// -------------------------------------------------------------------------------------------------
// Fraction Class Implementation
// -------------------------------------------------------------------------------------------------
int Fraction::gcd(int x, int y) {
  if (x==y) return x;
  if (x<y)
    return gcd(x,y%x);
  else
    return gcd(x%y,y);
}
// -------------------------------------------------------------------------------------------------
void Fraction::normalize() {
  int g=this->gcd(fNumerator, fDenominator);
  fNumerator=fNumerator/g;
  fDenominator=fDenominator/g;
}
// -------------------------------------------------------------------------------------------------
Fraction::Fraction(int numerator, int denominator) {
}
// -------------------------------------------------------------------------------------------------
Fraction::Fraction(int number) {
}
// -------------------------------------------------------------------------------------------------
Fraction::Fraction(const Fraction& from) {
}
// -------------------------------------------------------------------------------------------------
void Fraction::assign(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
Fraction Fraction::add(const Fraction& operand) {
  Fraction result=Fraction(
    fNumerator*operand.fDenominator+operand.fNumerator*fDenominator,
    fDenominator*operand.fDenominator
  );
  result.normalize();
  return result;
}
// -------------------------------------------------------------------------------------------------
Fraction Fraction::sub(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
Fraction Fraction::mult(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
Fraction Fraction::div(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
void Fraction::add2(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
void Fraction::sub2(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
void Fraction::mult2(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
void Fraction::div2(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
bool Fraction::equals(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
bool Fraction::equalsNot(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
bool Fraction::leq(const Fraction& operand) {
}
// -------------------------------------------------------------------------------------------------
bool Fraction::geq(const Fraction& operand) {
}