Question

(Rational class) Create a class called Rational for performing arithmetic with fractions. Write a program to test your class. Use integers 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 be initialized when it is declared. The constructor should contain default values in case are no initializers are provided and should store the fraction in reduced form. For example, the fraction 3/6 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. Adding two Rational numbers. The result should be stored in reduced form.

2. Subtracting two Rational numbers. The result should be stored in reduced form.

3. Multiplying two Rational numbers. The result should be stored in reduced form.

4. Dividing two Rational numbers. The results should be stored in reduced form.

5. Printing Rational numbers in the form a/b, where a is the numerator and b is the denominator.

6. Printing Rational numbers in floating-point format.

TO BE DONE IN C++ LANGUAGE

Note: separate interface from implementation.(you should create three files in this project

Answer 1

//do comment if any problem arises or modification needed

Rational.h:

#pragma once
#include<iostream>
using namespace std;
class Rational
{
private:
   int numerator, denominator;
public:
   Rational();
   Rational(int, int);
   void reduce();
   int find_gcd(int, int);
   void add(Rational&);
   void subtract(Rational&);
   void multiply(Rational&);
   void devide(Rational&);
   void print_Floating_point();
   void print();
};

Rational.cpp:

#include "Rational.h"

Rational::Rational()
{
   this->numerator = 0;
   this->denominator = 0;
}
Rational::Rational(int numerator, int denominator)
{
   this->numerator = numerator;
   this->denominator = denominator;
   this->reduce();
}
void Rational:: reduce()
{
   int gcd = find_gcd(numerator, denominator);
   numerator /= gcd;
   denominator /= gcd;
}
int Rational::find_gcd(int a, int b)
{
   if (b == 0) return a;
   a %= b;
   return find_gcd(b, a);
}
void Rational::add(Rational& temp)
{
   int numerator, denominator;
   denominator = this->denominator * temp.denominator;
   numerator = this->numerator * temp.denominator + temp.numerator * this->denominator;
   Rational addition(numerator,denominator);
   cout << "Addition: ";
   addition.print();
}
void Rational::subtract(Rational& temp)
{
   int numerator, denominator;
   denominator = this->denominator * temp.denominator;
   numerator = this->numerator * temp.denominator - temp.numerator * this->denominator;
   Rational subtraction(numerator, denominator);
   cout << "Subtraction: ";
   subtraction.print();
}
void Rational::multiply(Rational& temp)
{
   int numerator, denominator;
   denominator = this->denominator * temp.denominator;
   numerator = this->numerator * temp.numerator;
   Rational mult(numerator, denominator);
   cout << "Multiplication: ";
   mult.print();
}
void Rational::devide(Rational& temp)
{
   int numerator, denominator;
   denominator = this->denominator * temp.numerator;
   numerator = this->numerator * temp.denominator;
   Rational dev(numerator, denominator);
   cout << "Division: ";
   dev.print();
}
void Rational::print_Floating_point()
{
   cout << float(this->numerator) / this->denominator;
}
void Rational::print()
{
   cout << this->numerator << "/" << this->denominator << endl;
}

main.cpp:

#include"Rational.h"
int main()
{
   Rational first(3, 6);
   cout << "First number is: ";
   first.print();
   Rational second(5, 25);
   cout << "Second number is: ";
   second.print();
   first.add(second);
   first.subtract(second);
   first.multiply(second);
   first.devide(second);
}

Output: