# Rational Numbers in C++ Homework Sample

Rational numbers are commonly called fractions in every day usage. So if you wanted to calculate ½ + ¼ the answer would be ¾. This is a lot easier to read than 0.5 + 0.25 = 0.75. The constructor should ensure the denominator is a positive integer. Complete overloaded operators for addition, subtraction, multiplication, division and comparison. Write a toString method to convert the representation into a string. For additional C++ programming assignment help contact us for a quote.

#### Solution:

Rational.h

/*

* Rational.h

*

*/

#ifndef RATIONAL_H_

#define RATIONAL_H_

#include

#include

#include

#include

using namespace std;

class Rational

{

public:

Rational();

Rational(int whole_number);

Rational(int num, int denom);

friend Rational operator*(const Rational& rational1, const Rational& rational2);

friend Rational operator/(const Rational& rational1, const Rational& rational2);

friend Rational operator+(const Rational& rational1, const Rational& rational2);

friend Rational operator-(const Rational& rational1, const Rational& rational2);

friend bool operator==(const Rational& rational1, const Rational& rational2);

friend bool operator!=(const Rational& rational1, const Rational& rational2);

string toString();

private:

int numerator;

int denominator;

void reduce();

};

#endif /* RATIONAL_H_ */

Rational.cpp

/*

* Rational.cpp

*

*/

#include “Rational.h”

Rational::Rational()

{

numerator = 0;

denominator = 1;

}

Rational::Rational(int whole_number)

{

numerator = whole_number;

denominator = 1;

}

Rational::Rational(int num, int denom)

{

numerator = num;

denominator = denom;

if (denominator < 0)

{

denominator *= -1;

numerator *= -1;

}

int remainder = numerator % denominator;

int old = denominator;

while (remainder != 0)

{

int temp = remainder;

remainder = old % remainder;

old = temp;

}

numerator = numerator / old;

denominator = denominator / old;

}

Rational operator*(const Rational& rational1, const Rational& rational2)

{

Rational ret;

ret.numerator = rational1.numerator * rational2.numerator;

ret.denominator = rational1.denominator * rational2.denominator;

ret.reduce();

return ret;

}

Rational operator/(const Rational& rational1, const Rational& rational2)

{

Rational ret;

int temp_rational2_denom;

int temp_rational2_num;

temp_rational2_num = rational2.denominator;

temp_rational2_denom = rational2.numerator;

ret.numerator = rational1.numerator * temp_rational2_num;

ret.denominator = rational1.denominator * temp_rational2_denom;

ret.reduce();

return ret;

}

Rational operator+(const Rational& rational1, const Rational& rational2)

{

Rational ret;

int temp1_num;

int temp2_num;

temp1_num = rational1.numerator * rational2.denominator;

temp2_num = rational1.denominator * rational2.numerator;

ret.numerator = temp1_num + temp2_num;

ret.denominator = rational1.denominator * rational2.denominator;

ret.reduce();

return ret;

}

Rational operator-(const Rational& rational1, const Rational& rational2)

{

Rational ret;

ret.numerator = (rational1.numerator * rational2.denominator) – (rational2.numerator * rational1.denominator);

ret.denominator = rational1.denominator * rational2.denominator;

ret.reduce();

return ret;

}

bool operator==(const Rational& rational1, const Rational& rational2)

{

if ((rational1.numerator * rational2.denominator) == (rational1.denominator * rational2.numerator))

{

return true;

}

else

{

return false;

}

}

bool operator!=(const Rational& rational1, const Rational& rational2)

{

if ((rational1.numerator * rational2.denominator) != (rational1.denominator * rational2.numerator))

{

return true;

}

else

{

return false;

}

}

string Rational::toString()

{

reduce();

ostringstream result;

result << numerator << “/” << denominator;

return result.str();

}

void Rational::reduce()

{

int remainder = numerator % denominator;

int old = denominator;

while (remainder != 0)

{

int temp = remainder;

remainder = old % remainder;

old = temp;

}

numerator = numerator / old;

denominator = denominator / old;

}