Question

Declare and define a class for a fraction number. A fraction in mathematics is defined as a/b, where a and b are integers and called numerator and denominator.

Requirements

Task1   

• Define a fraction class that has the following member functions:
  • constructor that initializes the fraction by default arguments.
  • set function that sets the numerator of the fraction.
  • set function that sets the denominator of the fraction.
  • get function that returns the numerator of the fraction.
  • get function that returns the denominator of the fraction.
  • a function that displays the fraction.
• Write the class in header and implementation files, and compile it separately from the client program. Name the files as fraction.h and fraction.cpp.
• Document the class following the example of the point class posted on D2L.
• Write a test program to show all your member functions work before you move to Task2. Name your program as project1_task1.cpp.

Task2

• Add the following nonmember functions in your fraction header file and implementation file following the example of modified point class in the file “newpoint.h” and “newpoint.cpp”:
  • A function that returns the sum of two fractions.
  • A function that returns the difference of two fractions.
  • A function that returns the product of two fractions.
  • A function that returns the quotient of two fractions.

Name the modified files as newfraction1.h and newfraction1.cpp.

• Write another test program to show all the operations work correctly before you move to Task 3. Name the program as project1_task2.cpp.

A run of this test program might look like this:

>a.out

Enter the first fraction: numerator denominator

3 5

Enter the second fraction: numerator denominator

2 3

The two fractions entered are

f1 = 3/5

f2 = 2/3

The arithmetic operations on these two fractions:

f1 + f2 = 19/15

f1 - f2 = -1/15

f1 * f2 = 2/5

f1 / f2 = 9/10

Task 3

Redo the Task 2 using operators.

• Use operator overloading to define the following operations for the fraction class:
  • Sum: + as a member function
  • Difference: - as a member function
  • Product: * as a non member function
  • Quotient: / as a non member function
  • Output: << as a non member function
  • Input : >>   as a friend function of the class fraction

• Following the example of the point class for all the documentation.
• Write and document the class in header and implementation files, and compile it separately from the client program. Name the files as newfraction2.h and newfraction2.cpp.
• Write a program that performs all the operations defined above. Name the program as project1_task3.cpp.

  Declare and define a class for a fraction number. A fraction in mathematics is defined as a/b, where a and b are integers and called numerator and denominator.

  Requirements

  Task1   

• Define a fraction class that has the following member functions:
  • constructor that initializes the fraction by default arguments.
  • set function that sets the numerator of the fraction.
  • set function that sets the denominator of the fraction.
  • get function that returns the numerator of the fraction.
  • get function that returns the denominator of the fraction.
  • a function that displays the fraction.
• Write the class in header and implementation files, and compile it separately from the client program. Name the files as fraction.h and fraction.cpp.
• Document the class following the example of the point class posted on D2L.
• Write a test program to show all your member functions work before you move to Task2. Name your program as project1_task1.cpp.

• Task2

• Add the following nonmember functions in your fraction header file and implementation file following the example of modified point class in the file “newpoint.h” and “newpoint.cpp”:
  • A function that returns the sum of two fractions.
  • A function that returns the difference of two fractions.
  • A function that returns the product of two fractions.
  • A function that returns the quotient of two fractions.

• Name the modified files as newfraction1.h and newfraction1.cpp.

• Write another test program to show all the operations work correctly before you move to Task 3. Name the program as project1_task2.cpp.

• A run of this test program might look like this:

  >a.out

  Enter the first fraction: numerator denominator

  3 5

  Enter the second fraction: numerator denominator

  2 3

  The two fractions entered are

  f1 = 3/5

  f2 = 2/3

  The arithmetic operations on these two fractions:

  f1 + f2 = 19/15

  f1 - f2 = -1/15

  f1 * f2 = 2/5

  f1 / f2 = 9/10

  Task 3

  Redo the Task 2 using operators.

• Use operator overloading to define the following operations for the fraction class:
  • Sum: + as a member function
  • Difference: - as a member function
  • Product: * as a non member function
  • Quotient: / as a non member function
  • Output: << as a non member function
  • Input : >>   as a friend function of the class fraction
• Following the example of the point class for all the documentation.
• Write and document the class in header and implementation files, and compile it separately from the client program. Name the files as newfraction2.h and newfraction2.cpp.
• Write a program that performs all the operations defined above. Name the program as project1_task3.cpp.

Answer 1

Code

newfraction2.h

#ifndef NEWFRACTION2_H
#define NEWFRACTION2_H
#include <iostream>
using namespace std;
class fraction
{
   friend istream &operator>>(istream&, fraction&);
   friend ostream &operator<<(ostream&, fraction&);
public:
   fraction(int,int);
   fraction();
   void printfraction();
   fraction &operator=(fraction&);
   fraction operator+(const fraction& );
   fraction operator-(const fraction& );
   fraction operator *(const fraction& );
   fraction operator /(const fraction& );
  
   void reduction();
private:
   int numerator;
   int denominator;
};
#endif

newfraction2.cpp

#include"newfraction2.h";
fraction::fraction(int numerator, int denominator)
{
   this->numerator = numerator;
   //this->denominator = denominator;
   if(denominator ==0)
   {
       this->denominator = 1;
   }// end if
   reduction();
}
fraction::fraction()
{
   this->numerator=0;
   this->denominator=1;
}
fraction &fraction::operator=(fraction &number)
{
   numerator = number.numerator;
   denominator = number.denominator;
   return *this;
}
istream &operator>>(istream &in, fraction &number)
   {
       char slash;
       in >> number.numerator >> number.denominator;
       if(number.denominator == 0)
       {
           cout<<"invalid denominator/n";
           number.denominator = 1;
       }
       return in;
   }
ostream &operator<<(ostream &out, fraction &number)
   {
       out << number.numerator << '/' << number.denominator;
      
       return out;
   }
void fraction::reduction()
{
int largest;
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

fraction fraction::operator+(const fraction& c1)
{
   fraction temp;
   temp.numerator=(numerator*c1.denominator)+(c1.numerator*denominator);
   temp.denominator=denominator*c1.denominator;
   temp.reduction();
   return temp;
}
fraction fraction::operator-(const fraction& c1)
{
   fraction temp;
   temp.numerator=(numerator*c1.denominator)-(c1.numerator*denominator);
   temp.denominator=denominator*c1.denominator;
   temp.reduction();
   return temp;
}
fraction fraction::operator*(const fraction& c1)
{
   fraction temp;
   temp.numerator=(numerator*c1.numerator);
   temp.denominator=denominator*c1.denominator;
   temp.reduction();
   return temp;
}
fraction fraction::operator/(const fraction& c1)
{
   fraction temp;
   temp.numerator=(numerator*c1.denominator);
   temp.denominator=denominator*c1.numerator;
   temp.reduction();
   return temp;
}

project1_task3.cpp

#include"newfraction2.h"

int main()
{
   fraction f1,f2,f3;
   cout<<"Enter firtst fraction: numerator denominator"<<endl;
   cin>>f1;
   cout<<"Enter second fraction: numerator denominator"<<endl;
   cin>>f2;
   cout<<"Ther two fraction enterd are "<<endl;
   cout<<"f1 = "<<f1<<endl;
   cout<<"f2 = "<<f2<<endl;

   cout<<"The arithmetic operations on these two fractions:"<<endl;
   f3=f1+f2;
   cout<<"f1 + f2 = "<<f3<<endl;
   f3=f1-f2;
   cout<<"f1 - f2 = "<<f3<<endl;
   f3=f1*f2;
   cout<<"f1 * f2 = "<<f3<<endl;
   f3=f1/f2;
   cout<<"f1 / f2 = "<<f3<<endl;

   return 1;
}

output

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