C++ ### Creating a Rational Number ClassWe have noticed that the system floating-point number will sometimes lose information. For this assignment, you will develop your own real number class that can be used in a similar way as system data types such as `int` and `float`.In your class `rational`, you can use two integers `a` and `b` to represent a rational number, which is equivalent to `a/b`. This is because a rational number can always be written as a quotient of two integers. Your `rational` class should support the following functions:- **Initialization:** - The user can provide two integers to initialize a `rational` object. - If the user does not provide any information, the `rational` object should be initialized as `0`.- **Operations:** - The user can use the operators `+`, `-`, `*`, and `/` to operate two `rational` objects, as with system-defined types.- **Printing:** - The user can use a member function `print()` to print the rational number in the form of `a/b`.#### Example Usage:The user can do the following with your class `rational`:```cpprational r1(2,3);rational r2;rational r3 = r1 + r2;rational r4 = r1 * r2;r3.print();r4.print();```**Expected Output:**```plaintext2/30```#### Tips for Implementation:- **Hint 1:** Consider the case of dividing by 0. In this case, you can return `0` directly.- **Hint 2:** Consider reducing the fraction when possible. For instance, if the user creates a rational object as `rational a(2,4)`, you can store `1` and `2` in the object instead of `2` and `4`. You can use the function `__gcd(i1, i2)` to find the greatest common divisor (GCD) of two integers. To use this function, you need to include the header file ``.

Actually c++ is a powerful general purpose language.SOLUTION : #include<iostream> #include <algorithm> using namespace std; //class rational to perform operations class Rational{ public : int num; int den; //parameterized constructor Rational(int n, int d){ num = n/ (__gcd(n,d)); den = d/ (__gcd(n,d)); } //default constructor Rational(){ num = 0; den = 1; } //function to print the fraction void print(){ cout <<num<<" / "<<den<<"\n"; } //function to perform addition void add(Rational r1, Rational r2){ den = __gcd(r1.den, r2.den); den = (r1.den * r2.den) / den; num = (r1.num) * (den/r1.den) + (r2.num) * (den/r2.den); int t = __gcd(num,den); num = num/ t; den = den/ t; print(); } //function to perform subtraction void sub(Rational r1, Rational r2){ den = __gcd(r1.den, r2.den); den = (r1.den * r2.den) / den; num = (r1.num) * (den/r1.den) - (r2.num) * (den/r2.den); int t = __gcd(num,den); num = num/ t; den = den/ t; print(); } //function to perform multiplication operation void mult(Rational r1, Rational r2){ den = r1.den * r2.den; num = r1.num * r2.num; int t = __gcd(num,den); num = num/ t; den = den/ t; print(); } //functionm to perform division void div(Rational r1, Rational r2){ den = r1.den * r2.num; num = r1.num * r2.den; int t = __gcd(num,den); num = num/ t; den = den/ t; print(); } }; //driver function int main(){ //variable declarations int flag = 0, ch; int num,num1,den,den1; //taking input while(flag == 0){ cout << "Enter the numerator and denominator of first fraction :"; cin >> num >> den; if(den == 0) cout << "Denominator cannot be 0.\n"; else flag = 1; } while(flag == 1){ cout << "Enter the numerator and denominator of second fraction :"; cin >> num1 >> den1; if(den1 == 0) cout << "Denominator cannot be 0.\n"; else flag = 0; } //loop to perform operations till user while(flag == 0){ Rational r1(num, den); Rational r2(num1,den1); Rational r3; cout << "\n1.Addition( + )\n2.Subtraction( - )\n3.Multiplication( * )\n4.Division( / )\n5.Print the fractions\n6.Exit\nEnter your choice :"; cin >> ch; switch(ch){ case 1 :cout << "\nPerforming addition\n"; r3.add(r1,r2); break; case 2 :cout << "\nPerforming subtraction\n"; r3.sub(r1,r2); break; case 3 :cout << "\nPerforming multiplication\n"; r3.mult(r1,r2); break; case 4 :cout << "\nPerforming division\n"; if(num1 == 0){ cout << "Cannot perform division since numerator of second fraction has 0\n"; break; } else{ r3.div(r1, r2); break; } case 5 :cout << "First fraction ->"; r1.print(); cout << "\nSecond fraction ->"; r2.print(); break; case 6 :flag = 1; break; default:cout <<"invalid choice\n"; } } }OUTPUT :

Engineering

Computer Science

We have noticed that the system floating point number will some times lose information. For this assignment, you will develop your own re number class that can be used in a similar way as system data types such as int and float . In your class rational , you can use two integers a and b to represent a rational number, which is equivalent to a/b . This is because rational number can always be written as a quotient of two integers. Your rational class should support the following functions: • The user can provide two integers to initialize an rational object; If the user does not provide any information, the rational object should be initialized as 0 ; • The user can use the operator +, -, *, and / to operate two rational objects as he/she is using the system defined types; The user can use a member function print() to print the rational number in the form of a/b . For example, the user can do the following with your class rational

We have noticed that the system floating point number will some times lose information. For this assignment, you will develop your own re number class that can be used in a similar way as system data types such as int and float . In your class rational , you can use two integers a and b to represent a rational number, which is equivalent to a/b . This is because rational number can always be written as a quotient of two integers. Your rational class should support the following functions: • The user can provide two integers to initialize an rational object; If the user does not provide any information, the rational object should be initialized as 0 ; • The user can use the operator +, -, *, and / to operate two rational objects as he/she is using the system defined types; The user can use a member function print() to print the rational number in the form of a/b . For example, the user can do the following with your class rational

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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