Create a class called Rational for performing arithmetic with fractions. Use the integer variables to represent the private data of the class - the numerator and the denominator. Provide a constructor that enables an object of this class to initialized when it's declared. The constructor should contain default values in case no initializers are provided and should store the fraction in reduced form. For example, the fraction 2/4 would be stored in the object as 1 in the numerator and 2 in the denominator. Provide public member functions that perform each of the following tasks:

add - Adds to Rational numbers. The result should be stored in a reduced form.

subtract - Subtract two Rational numbers. Store the result in reduced form.

multiply - Multiplies two Rational numbers. Store the result in reduced form.

divide - Divides two Rational numbers. The result should be stored in a reduced form.

toRationalString - Return a string representation of a Rational number in the form a/b, where a is the numerator and b is the denominator.

toDouble - Returns the Rational number as double

Output sample:

1/3 + 7/8 = 29/24

29/24 = 1.20833

1/3 - 7/8 = -13/24

-13/24 = -0.541667

1/3 + 7/8 = 7/24

7/24 = 0.291667

1/3 + 7/8 = 8/21

8/21 = 0.380952

Steps on how to do the lab assignment 2.

In this lab assignment, you put all the code including the main function in one file called lab2.

#include

#include // for ostringstream class

using namespace std;

class Rational {

public:

Rational(int = 0, int = 1); // default constructor

Rational add(const Rational) const;

Rational subtract(const Rational) const;

Rational multiply(const Rational) const;

Rational divide(const Rational) const;

std::string toRationalString() const; // return as string format

double toDouble() const; // return rational as double

private:

int numerator; // integer numerator

int denominator; // integer denominator

void reduce(); // utility function

};

//Define the two-argument constructors

//Your code

//I provided the code for the function add

Rational Rational::add(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;

}

//Define the function subtract

//Your code

//Define the function multiply

//Your code

//Define the function divide

//Your code

string Rational::toRationalString() const {

if (denominator == 0) { // validates denominator

return " DIVIDE BY ZERO ERROR!!!";

}

else if (numerator == 0) { // validates numerator

return "0";

}

else {

ostringstream output;

output << numerator << '/' << denominator;

return output.str();

}

}

double Rational::toDouble() const {

return static_cast(numerator) / denominator;

}

//The function reduce is provided for you. This function reduces the fraction.

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;

}

}

int main() {

Rational c(2,6);

Rational d(7,8);

Rational x = c.add(d); // adds object c and d; sets the value to x

cout << c.toRationalString() << " + " << d.toRationalString() << " = " << x.toRationalString() << ' ';

cout << x.toRationalString() << " = " << x.toDouble() << " ";

//Write code to subtract Rational object d from c ( c-d) and display the output. The output is similar to the format for adding to Rational objects above.

//Write code to multiply Rational objects c and d, and display the output. The output is similar to the format for adding to Rational objects above.

//Write code to divide Rational object c by d (c/d) and display the output. The output is similar to the format for adding to Rational objects above.

//Write code to display the result of dividing c by d in the double format as shown in the output sample above.

}