Question

Create a class called Rational for performing arithmetic with fractions. Write a program to test your class. Use integer variables to represent the private data of the elass the numerator and the denominator. Provide a constructor that enables an object of this class to be 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 would be stored in the object as I in the numerator and 2 in the denominator. Provide public member functions that perform each of the following tasks: a) Adding two Rational numbers. The result should be stored in reduced form. b) Subtracting two Rational numbers. The result should be stored in reduced form. c) Multiplying two Rational numbers. The result should be stored in reduced form. d) Dividing two Rational numbers. The result should be stored in reduced form. e) Printing Rational numbers in the form a/b, where a is the numerator and b is the denominator 0 Printing Rational numbers in floating-point format Create an object of class Rational in the main function and test all functions. Sum of vo frutiom+ ch a ad - ch b dbd Differna of tro fradions Product of two fractions:?× e) ad bc Division of taro fradtions: 73+778-29724 29/24 = 1.20833 3-7/813/24 13/24-0.541667 1/3 x 7/8-7/24 724 = 0.291667 1/3 1 718-8/21 8/21-0, 380952

C++...please help follow exact steps output needs to be the exact same

Answer 1

#include<bits/stdc++.h>

using namespace std;

/*

a/b+c/d=(a*d+b*c)/b*d

a/b-c/d=(a*d-b*c)/b*d

a/b*c/d=(a*c)/b*d

*/

class Rational

{ private:

int numerator,denominator; //private variables

public:

//constructor

Rational()

{

numerator=0;

denominator=1;

simplify();//to simplify numerator and denominator

}

//simplifies the fraction

void simplify()

{

int x=__gcd(numerator,denominator); //find gcd

numerator=numerator/x; //divide the gcd

denominator=denominator/x;

}

//constructor

Rational(int numerator,int denominator)

{

setNumerator(numerator); //set numerator

setDenominator(denominator);//set denominator

simplify();

}

//add function , returns a Rational object

Rational add( Rational obj)//add

{

Rational temp,r;

//finding numerator

int n=numerator*obj.denominator+obj.numerator*denominator;

int d=denominator*obj.denominator; //denominator

//simplify fraction

//move - sign to numerator

if(d<0)

{

d=d*-1;

n=n*-1;

}

//return new object

return Rational(n,d);

}

Rational sub(Rational obj)//subtract

{

Rational temp,r;

//find numerator

int n=numerator*obj.denominator-obj.numerator*denominator;

int d=denominator*obj.denominator;

//simplify the fraction(4/4 is reduced to 1/1)

int x=__gcd(n,d);

n=n/x;

d=d/x;

//for -ve sign

if(d<0)

{

d=d*-1;

n=n*-1;

}

return Rational(n,d);

}

Rational multiply(Rational obj)//multiply

{

Rational temp,r;

//numerator

int n=numerator*obj.numerator;

int d=denominator*obj.denominator;

//simplify

int x=__gcd(n,d);

n=n/x;

d=d/x;

//-ve sign

if(d<0)

{

d=d*-1;

n=n*-1;

}

return Rational(n,d);

}

Rational divide(Rational obj)

{

int n=numerator*obj.denominator;

int d=denominator*obj.numerator;

return Rational(n,d);

}

//function to set numerator

void setNumerator(int n)

{

numerator=n;

}

//function to set denominator

void setDenominator(int n)

{

denominator=n;

}

void printRational()

{

cout<<numerator<<"/"<<denominator;

}

void printFloat()

{

cout<<(float)numerator/denominator<<endl;

}

};

int main(int argc, char const *argv[])

{

/* code */

Rational a(1,3),b(7,8),c;

c=a.add(b); //add

a.printRational();//print a

cout<<" + ";

b.printRational(); //print b

cout<<" = " ; //print =

//add a+b

c.printRational(); //print c

cout<<endl;

c.printRational();

cout<<" = ";

c.printFloat();

cout<<endl;

//subtraction

c=a.sub(b);//a-b

a.printRational();

cout<<" - ";

b.printRational();

cout<<" = " ;

//add a+b

c.printRational(); //print

cout<<endl;

c.printRational();

cout<<" = ";

c.printFloat();

cout<<endl;

c=a.multiply(b);

a.printRational();

cout<<" * ";

b.printRational();

cout<<" = " ;

//add a+b

c.printRational(); //print

cout<<endl;

c.printRational();

cout<<" = ";

c.printFloat();

cout<<endl;

c=a.divide(b);

a.printRational();

cout<<" / ";

b.printRational();

cout<<" = " ;

//add a+b

c.printRational(); //print

cout<<endl;

c.printRational();

cout<<" = ";

c.printFloat();

cout<<endl;

return 0;

}