Answer to Question #284251 in C++ for Mehtab

Question

Implement a class called Fractions having two private integer data members used for a

fraction’s numerator and denominator.

The Fraction Class’s default constructor should provide both data members with default values

of 1 if no explicit user initialization is provided. It must also prohibit 0 as the denominator

value.

Further, provide member functions for displaying an object’s data values i.e given an object,

its numerator and denominator. Also provide the class with member functions that are capable of

adding, subtracting, multiplying and dividing two Fraction objects according to the following

formulas:

Sum of two fractions: a/b + c/d = (ad + cb) / bd

Difference of two fractions: a/b – c/d = (ad – cb) / bd

Product of two fractions a/b * c/d = ac/ bd

Division of two fractions: a/b / c/d = ad /bc

Answer 1

#include <iostream>
using namespace std;

class Fraction
{
private:
    int numerator, denominator; 
public:
    Fraction()
    {
        numerator = 1;
        denominator = 1;
    }
    Fraction(int n, int d)
    {
        numerator = n;
        if (d==0) 
        {
            cout << "ERROR: ATTEMPTING TO DIVIDE BY ZERO" << endl;
            exit(0); // will terminate the program if division by 0 is attempted
        }
        else
            denominator = d;
    }

    Fraction Sum(Fraction otherFraction)
    {
        int n = numerator*otherFraction.denominator+otherFraction.numerator*denominator;
        int d = denominator*otherFraction.denominator;
        return Fraction(n/gcd(n,d),d/gcd(n,d));
    }
    Fraction Difference(Fraction otherFraction)
    {
        int n = numerator*otherFraction.denominator-otherFraction.numerator*denominator;
        int d = denominator*otherFraction.denominator;
        return Fraction(n/gcd(n,d),d/gcd(n,d));
    }
    Fraction Product(Fraction otherFraction)
    {
        int n = numerator*otherFraction.numerator;
        int d = denominator*otherFraction.denominator;
        return Fraction(n/gcd(n,d),d/gcd(n,d));
    }
    Fraction Division(Fraction otherFraction)
    {
        int n = numerator*otherFraction.denominator;
        int d = denominator*otherFraction.numerator;
        return Fraction(n/gcd(n,d),d/gcd(n,d));
    }
    // I got the GCD algorithm from the following source:
    // Source C#: http://www.ww.functionx.com/csharp2/examples/gcd.htm
    int gcd(int n, int d)
    {
        int remainder;
        while (d != 0)
        {
            remainder = n % d;
            n = d;
            d = remainder;
        }
        return n;
    }
    void show() // Display method
    {
        if (denominator == 1) // e.g. fraction 2/1 will display simply as 2
            cout << numerator << endl;
        else
            cout << numerator << "/" << denominator << endl;
    }
};

int main()
{
    Fraction a(1,2);
    Fraction b(1,4);
    Fraction c;

    c = a.Sum(b); // Result: 3/4
    c.show();

    c = a.Difference(b); // Result: 1/4
    c.show();

    c = a.Product(b); // Result: 1/8
    c.show();

    c = a.Division(b); // Result: 2
    c.show();

    return 0;
}