Homework 3: OOP in C++ (100 points)

1. Write a class Fraction which defines adding, subtracting, multiplying, and dividing fractions by overloading standard operators for these operations. Write a function member for reducing factors and overload I/O operators to input and output fractions.

2. Write a driver program to test your class.

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A fraction number is the ratio of two integers and is typically represented in the manner a/b. The basic arithmetic operations have the following definitions:

Refer to this link on how to operate on fractions.


Reducing a fraction involves finding the Greatest Common Divisor, and then dividing all the terms by that amount.

Euclid’s Algorithm:
if x < y, then swap x and y
While y is not zero
  remainder = x mod y
  x = y
  y = remainder

When you’re done, x is the GCD.


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//In fraction.h
class Fraction {
    public: // member functions
        // default constructor
        Fraction();

        // a second constructor
        Fraction(int number, int denom=1);

        // destructor
        ~Fraction();

        // copy constructor
        Fraction(const Fraction &r);

        // member assignment
        Fraction& operator=(const Fraction &r);
        // can it be: void operator=(const Fraction &r); ?????


        // some arithmetic and stream facilitators
        Fraction Add(const Fraction &r) const;
        Fraction Sub(const Fraction &r) const;
        Fraction Multiply(const Fraction &r) const;
        Fraction Divide(const Fraction &r) const;
        void Insert(ostream &sout) const;
        void Extract(istream &sin);

    protected:
        // inspectors
        int GetNumerator() const;
        int GetDenominator() const;

        // mutators
        void SetNumerator(int numer);
        void SetDenominator(int denom);

    private:
        // data members
        int NumeratorValue;
        int DenominatorValue;
};
// Fraction ADT: auxiliary operator description
Fraction operator+(const Fraction &r, const Fraction &s);
Fraction operator-(const Fraction &r, const Fraction &s);
Fraction operator*(const Fraction &r, const Fraction &s);
Fraction operator/(const Fraction &r, const Fraction &s);

ostream& operator<<(ostream &sout, const Fraction &s);
istream& operator>>(istream &sin, Fraction &r);

// can they be: void operator<<(ostream &sout, const Fraction &); ?????

//In fraction.cpp
<insert your answer here...>

//In driver_program.cpp
...
int main() {
    Fraction r;
    Fraction s;
    cout << "Enter 1st rational number (a/b): ";
    cin >> r;
    cout << "Enter 2nd rational number (a/b): ";
    cin >> s;
    Fraction tr(r);
    Fraction ts = s;
    Fraction tts;
    tts = s;
    ts = tts = r;
    Fraction Sum = r + s;
    Fraction Difference = r - s;
    Fraction Product = r * s;
    Fraction Ratio = r / s;
    cout << r << " + " << s << " = " << Sum << endl;
    cout << r << " - " << s << " = " << Difference << endl;
    cout << r << " * " << s << " = " << Product << endl;
    cout << r << " / " << s << " = " << Ratio << endl;
    return 0;
}