Question

Program 4 Revised Problem: Write a program that uses the class Rational (below) for performing arithmetic with fractions. The member function definitions for the class rational should include: a. b. c. Create a constructor that accepts two integer arguments. Create addition, subtraction, multiplication, and division operators for this class. Create void functions that check for a zero denominator, cast the rational number as a double, and reduce the fraction. (printRational, printRationalAsDouble, and reduce) Solution: The main or demonstration program should create three rational objects. You will need to offer a menu and ask for user input for two objects, c x1, yl and dx2, y2. The third object should be called x and will be used to store the result of the operation. The menu should offer addition, subtraction, multiplication and division with -1 to quit. Be sure to display the results on the console in reduced form. A maximum of 10 points extra credit is available for error checking the user input.

Header file for the Rational class:

#ifndef RATIONAL_H
#define RATIONAL_H

class Rational
{
public:
Rational( int = 0, int = 1 ); // default constructor
Rational addition( const Rational & ) const; // function addition
Rational subtraction( const Rational & ) const; // function subtraction
Rational multiplication( const Rational & ) const; // function multi.
Rational division( const Rational & ) const; // function division
void printRational () const; // print rational format
void printRationalAsDouble() const; // print rational as double format
private:
int numerator; // integer numerator
int denominator; // integer denominator
void reduce(); // utility function
}; // end class Rational

#endif

Rational Class:

// Member-function definitions for class Rational.
#include "stdafx.h"
#include
#include "Rational.h" // include definition of class Rational
using namespace std;
Rational::Rational(int n, int d)
: numerator(n), denominator(d)
{
reduce(); // store the fraction in reduced form
} // end Rational constructor
Rational Rational::addition(const Rational &a) const
{
Rational t(a.numerator * denominator + a.denominator * numerator,
a.denominator * denominator);
t.reduce(); // store the fraction in reduced form
return t;
} // end function addition
Rational Rational::subtraction(const Rational &s) const
{
Rational t(s.denominator * numerator - denominator * s.numerator,
s.denominator * denominator);
t.reduce(); // store the fraction in reduced form
return t;
} // end function subtraction
Rational Rational::multiplication(const Rational &m) const
{
Rational t(m.numerator * numerator, m.denominator * denominator);
t.reduce(); // store the fraction in reduced form
return t;
} // end function multiplication
Rational Rational::division(const Rational &v) const
{
Rational t(v.denominator * numerator, denominator * v.numerator);
t.reduce(); // store the fraction in reduced form
return t;
} // end function division
void Rational::printRational() const
{
if (denominator == 0) // validates denominator
cout << "\nDIVIDE BY ZERO ERROR!!!" << '\n';
else if (numerator == 0) // validates numerator
cout << 0;
else
cout << numerator << '/' << denominator;
} // end function printRational
oid Rational::printRationalAsDouble() const
{
cout << static_cast< double >(numerator) / denominator;
} // end function printRationalAsDouble
void Rational::reduce()
{
int largest = numerator > denominator ? numerator : denominator;
int gcd = 0; // greatest common divisor
for (int loop = 2; loop <= largest; ++loop)
if (numerator % loop == 0 && denominator % loop == 0)
gcd = loop;
if (gcd != 0)
{
numerator /= gcd;
denominator /= gcd;
} // end if
} // end function reduction