Question

Introduction: Real work is in end. I will give you thumps up for your work.

Lab2:

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:

1. add - Adds to Rational numbers. The result should be stored in a reduced form.
2. subtract - Subtract two Rational numbers. Store the result in reduced form.
3. multiply - Multiplies two Rational numbers. Store the result in reduced form.
4. divide - Divides two Rational numbers. The result should be stored in a reduced form.
5. toRationalString - Return a string representation of a Rational number in the form a/b, where a is the numerator and b is the denominator.
6. 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

Lab 2's Ans:

#include <iostream>
#include <sstream> // 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
Rational::Rational(int a, int b)
{
this->numerator = a;
this->denominator = b;
}
//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
Rational Rational::subtract(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 multiply
//Your code
Rational Rational::multiply(const Rational a) const
{
Rational t(numerator * a.numerator, denominator * a.denominator);
t.reduce(); // store the fraction in reduced form
return t;
}

//Define the function divide
//Your code
Rational Rational::divide(const Rational a) const
{
Rational t(numerator * a.denominator, denominator * a.numerator);
t.reduce(); // store the fraction in reduced form
return t;
}

string Rational::toRationalString() const
{
if (denominator == 0) { // validates denominator
return "\nDIVIDE 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<double>(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(1, 3);
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() << '\n';
cout << x.toRationalString() << " = " << x.toDouble() << "\n\n";

//Write code to subtract Rational object d from c ( c-d) and display the output similar to the format for adding to Rational //objects above
x = c.subtract(d); // adds object c and d; sets the value to x
cout << c.toRationalString() << " - " << d.toRationalString() << " = " << x.toRationalString() << '\n';
cout << x.toRationalString() << " = " << x.toDouble() << "\n\n";

//Write code to multiply Rational objects c and d, and display the output similar to the format for adding to Rational //objects above
x = c.multiply(d); // adds object c and d; sets the value to x
cout << c.toRationalString() << " * " << d.toRationalString() << " = " << x.toRationalString() << '\n';
cout << x.toRationalString() << " = " << x.toDouble() << "\n\n";

//Write code to divide Rational object c by d (c/d) and display the output 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
x = c.divide(d); // adds object c and d; sets the value to x
cout << c.toRationalString() << " / " << d.toRationalString() << " = " << x.toRationalString() << '\n';
cout << x.toRationalString() << " = " << x.toDouble() << "\n\n";
}

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Now you job is to do rest:

Redo the lab 2 (RationalNumber class) to provide the following capabilities:

1. Create a constructor that prevents a 0 denominator in a fraction, reduce or simplifies fractions that are not in reduced form, and avoids negative denominators.
2. overload cin (>>) and cout (<<).
3. Overload the addition, subtraction, multiplication, and division operators for this class.
4. Overload the relational operators and == for this class

Attached is a partial lab7.cpp program. You need to write code for the following operator overloaded functions:

• OVERLOAD - operator
• OVERLOAD * operator
• OVERLOAD <= operator
• OVERLOAD = operator
• OVERLOAD cin (>>) operator
• FILL IN BLANK C++ STATEMENT FOR THE OVERLOAD cout (<<)

Answer 1

Note: Could you plz go through this code and let me know if u need any changes in this.Thank You
=================================

#include <iostream>
#include <sstream> // for ostringstream class
using namespace std;
class Rational {
public:
Rational(int = 0, int = 1); // default constructor

Rational operator+(const Rational) const;
Rational operator-(const Rational) const;
Rational operator*(const Rational) const;
Rational operator/(const Rational) const;
/**
* Friend function declarations
* Output Rational number to an output stream, Example 3+4i
*/
friend std::ostream & operator << (std::ostream & dout,const Rational & );
/**
* read Rational number to an input stream
*/
friend std::istream & operator >> (std::istream & din, Rational & );

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
Rational::Rational(int a, int b)
{
this->numerator = a;
this->denominator = b;
}
//I provided the code for the function add

Rational Rational::operator+(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
Rational Rational::operator-(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 multiply
//Your code
Rational Rational::operator*(const Rational a) const
{
Rational t(numerator * a.numerator, denominator * a.denominator);
t.reduce(); // store the fraction in reduced form
return t;
}

//Define the function divide
//Your code
Rational Rational::operator/(const Rational a) const
{
Rational t(numerator * a.denominator, denominator * a.numerator);
t.reduce(); // store the fraction in reduced form
return t;
}

// Function implementation which display Rational numbers by using the operator overloading '<<'
ostream& operator<<(ostream& dout, const Rational& c)
{
dout <<"("<< c.numerator << "/" << c.denominator<<")";
return dout;
}
// Function implementation which read Rational numbers by using the operator overloading '>>'
istream& operator>>(istream& din, Rational& c)
{
char ch;
din >> c.numerator;
din >> ch;
din >> c.denominator;
return din;
}

double Rational::toDouble() const
{
return static_cast<double>(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,d;
cout<<"Rational Number#1:";
cin>>c;
cout<<"Rational Number#2:";
cin>>d;

Rational x = c+d; // adds object c and d; sets the value to x
cout << c<< " + " << d<< " = " << x<< '\n';
cout << x<< " = " << x.toDouble() << "\n\n";

//Write code to subtract Rational object d from c ( c-d) and display the output similar to the format for adding to Rational //objects above
x = c-d; // adds object c and d; sets the value to x
cout << c<< " - " << d<< " = " << x<< '\n';
cout << x<< " = " << x.toDouble() << "\n\n";

//Write code to multiply Rational objects c and d, and display the output similar to the format for adding to Rational //objects above
x = c*d; // adds object c and d; sets the value to x
cout << c<< " * " << d<< " = " << x<< '\n';
cout << x<< " = " << x.toDouble() << "\n\n";

//Write code to divide Rational object c by d (c/d) and display the output 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
x = c/d; // adds object c and d; sets the value to x
cout << c << " / " << d<< " = " << x<< '\n';
cout << x<< " = " << x.toDouble() << "\n\n";
}

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Output:

=====================Could you plz rate me well.Thank You