Question

Write a class named Rat (to simulate rational or fraction number) such that it works as in the main below.

int main()

{

Rat a(3, 4), b(1, 2);

a.print(); // output: 3/4

b.print(); // output: 1/2

Rat c = a.add(b);

c.print(); // output: 5/4

// Hint: 3/4 + 1/2 = 6/8 + 4/8 = 10/8 = 5/4

Rat d = a.multiply(b);

d.print(); // output: 3/8

// Hint: 3/4 x 1/2 = 3/8

return 0;

}

Answer 1

C++ code:

#include <bits/stdc++.h>
using namespace std; 

// Rat class
class Rat{
    public:
        int numerator;
        int denominator;
    
    // Constructor
    Rat(int x, int y){
        numerator = x;
        denominator = y;
    }

    // print the fraction
    void print(){
        cout << numerator << "/" << denominator << endl;
    }
    
    // add two fractional numbers
    Rat add(Rat x){
        int num = this->numerator * x.denominator + this->denominator * x.numerator;
        int den = this->denominator * x.denominator;
        int gcd = __gcd(num, den);
        num /= gcd;
        den /= gcd;

        Rat y(num, den);
        return y;
    }

    // multiply two fractional numbers
    Rat multiply(Rat x){
        int num = this->numerator * x.numerator;
        int den = this->denominator * x.denominator;
        int gcd = __gcd(num, den);
        num /= gcd;
        den /= gcd;

        Rat y(num, den);
        return y;
    }
};

// Main function
int main(){

    Rat a(3, 4), b(1, 2);
    a.print(); // output: 3/4
    b.print(); // output: 1/2

    Rat c = a.add(b);
    c.print(); // output: 5/4

    Rat d = a.multiply(b);
    d.print(); // output: 3/8
    
    return 0;
}

Please refer to the following pictures for the code:

Execution of the above code: