Modify the fraction class in the four-function fraction calculator from Exercise 11 in Chapter 6 so that it uses overloaded operators for addition, subtraction, multiplication, and division. (Remember the rules for fraction arithmetic in Exercise 12 in Chapter 3, “Loops and Decisions.”) Also overload the == and != comparison operators, and use them to exit from the loop if the user enters 0/1, 0/1 for the values of the two input fractions. You may want to modify the lowterms() function so that it returns the value of its argument reduced to lowest terms. This makes it more useful in the arithmetic functions, where it can be applied just before the answer is returned.

SOLUTION:

#include "stdafx.h"

#include "iostream"

#include "math.h"

using namespace std;

/////////////////////////////////////////////////////////////////////////////////////////

class fraction

{

            private:

                        int num, den;               char dummy;

            public:

                        fraction ( ): num(0), den(1)

                                    {/*Empty Body*/}

                        fraction (int n, int d): num(n), den(d)

                                    {/*Empty Body*/}

                        void get_F ( )

                        {           cout << "Enter Fraction (in the form of a/b): ";   cin >> num >> dummy >> den;                 }

                        bool operator == (fraction f2) const;

                        bool operator != (fraction f2) const;

                        void show_F (fraction f1, fraction f2, char op) const

                        {           cout << f1.num << "/" << f1.den << op;         cout << f2.num << "/" << f2.den << " = ";

                                    cout << num << "/" << den << endl;               }

                        fraction operator + (fraction);             fraction operator - (fraction);

fraction operator * (fraction);              fraction operator / (fraction);

fraction lowterms( );

};

//---------------------------------------------------------------------------------------

bool fraction::operator == (fraction f2) const

{

            if(num == 0 && den == 1 && f2.num == 0 && f2.den == 1)              return true;

            else                  return false;

}

bool fraction::operator != (fraction f2) const

{

            if(num != 0 && den != 1 && f2.num != 0 && f2.den != 1)                   return true;

            else                  return false;

}

fraction fraction::operator + (fraction f2)

{           int n,d;             n = (num*f2.den + den*f2.num);        d = den*f2.den;           return fraction(n,d);     }

fraction fraction::operator - (fraction f2)

{           int n,d;             n = (num*f2.den - den*f2.num);         d = den*f2.den;           return fraction(n,d);     }

fraction fraction::operator * (fraction f2)

{           int n,d; n = num * f2.num;       d = den * f2.den;         return fraction(n,d);                 }

fraction fraction::operator / (fraction f2)

{           int n,d; n = num * f2.den;        d = den * f2.num;        return fraction(n,d);                 }

fraction fraction::lowterms ( )

{

            long tnum, tden, temp, gcd;

            tnum = labs(num);

            tden = labs(den);

            if(tden==0 )

                        {           cout << "Illegal fraction: division by 0";  exit(1);         }

            else if( tnum==0 )

            {           num=0; den = 1; return fraction(num,den);    }

            while(tnum != 0)

            {

                        if(tnum < tden)

                                    {           temp=tnum;                tnum=tden;                  tden=temp;      }

                        tnum = tnum - tden;

            }

            gcd = tden;

            num = num / gcd;

            den = den / gcd;

            return fraction(num,den);

}

/////////////////////////////////////////////////////////////////////////////////////////void main( )

{

            fraction frac1, frac2, frac3,frac4;

            cout << "Enter '0/1' & '0/1' for both fractions to exit.\n";

            frac1.get_F( );             frac2.get_F( );

            if(frac1 == frac2)

            {           cout << "GOOD BYE!\n";       exit(1); }

            if(frac1 != frac2)

            {

                        frac3 = frac1 + frac2; frac4 = frac3.lowterms( );       frac4.show_F(frac1,frac2,'+');

                        frac3 = frac1 - frac2;  frac4 = frac3.lowterms( );       frac4.show_F(frac1,frac2,'-');

                        frac3 = frac1 * frac2;  frac4 = frac3.lowterms( );       frac4.show_F(frac1,frac2,'*');

                        frac3 = frac1 / frac2;  frac4 = frac3.lowterms( );       frac4.show_F(frac1,frac2,'/');

            }

            system("pause");

}

OUTPUT:

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