#include <iostream>
using namespace std;

class Rational
{
public:
 void input();
 void output();
 void simpleform();
 Rational(int n, int d);
 Rational(int whole_number);
 Rational();
 Rational add(Rational);
 Rational sub(Rational);
 Rational mul(Rational);
 Rational div(Rational);
 Rational neg(Rational);
 bool less(Rational);
 Rational operator + (Rational);
 Rational operator - (Rational);
 Rational operator * (Rational);
 Rational operator / (Rational);
 bool operator == (Rational);
 bool operator != (Rational);
 bool operator > (Rational);
 bool operator < (Rational);
 bool operator >= (Rational);
 bool operator <= (Rational);
private:
 int numer, denom;
};

int main()
{
    Rational first, second;
    first.input();
    second.input();
    Rational a,b,c,d;
    bool e,f,g,h,i,j;
    cout << "The two rational numbers : ";first.output(); cout<<"   "; second.output(); cout<<endl;
    first.simpleform(); second.simpleform();
    cout << "The two rational numbers in simple form: ";first.output(); cout<<"   "; second.output(); cout<<endl;
    a = first + second;
    a.output(); cout<<endl;
    b = first - second;
    b.output(); cout<<endl;
    c = first * second;
    c.output(); cout<<endl;
    d = first / second;
    d.output(); cout<<endl;
    e = first > second;
    f = first < second;
    g = first <= second;
    h = first >= second;
    i = first == second;
    j = first != second;
    cout << e << f << g << h << i << j;

    return 0;
}


void Rational::input()
{
    cout << "Please the Numerator" << endl;
    cin >> numer;
    cout << "Please the Denominator" << endl;
    cin >> denom;
}

void Rational::output()
{
    cout << numer << "/" << denom;
}

Rational::Rational(int n,int d)
{
    numer = n;
    denom = d;
}
Rational::Rational(int whole_number)
{
    numer = whole_number;
    denom = 0;
}

Rational::Rational()
{
    numer = 0;
    denom = 0;
}

Rational Rational::add(Rational c)
{
    Rational temp;
    temp.numer = ((numer*c.denom) + (denom*c.numer));
    temp.denom = (denom * c.denom);
    temp.simpleform();
    return temp;
}


Rational Rational::sub(Rational c)
{
    Rational temp;
    temp.numer = numer - c.numer;
    temp.denom = denom - c.denom;
    temp.simpleform();
    return temp;
}

Rational Rational::mul(Rational c)
{
    Rational temp;
    temp.numer = numer * c.numer;
    temp.denom = denom * c.denom;
    temp.simpleform();
    return temp;
}

Rational Rational::div(Rational c)
{
    Rational temp;
    temp.numer = numer / c.numer;
    temp.denom = denom / c.denom;
    temp.simpleform();
    return temp;
}

Rational Rational::neg(Rational c)
{
    c.numer = -(c.numer);
    c.denom = -(c.denom);
    return c;
}

bool Rational::less(Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) < (c.numer * denom))
    temp = 1;
    return temp;
}

void Rational::simpleform()
{
    float n=(float)this->numer;
    float d=(float)this->denom;
    int i=2;

    while((i<=n) && (n!=1))
      {
        while((n/i==(int)n/i) && (d/i ==(int)d/i))
         {
            n/=i;
            d/=i;
         }
        i++;
      }
    numer=n;
    denom=(n==0)?1:d;
}

Rational Rational::operator + (Rational c)
{
    Rational temp;
    temp.numer = ((numer*c.denom) + (denom*c.numer));
    temp.denom = (denom * c.denom);
    temp.simpleform();
    return temp;
}

Rational Rational::operator - (Rational c)
{
    Rational temp;
    temp.numer = numer - c.numer;
    temp.denom = denom - c.denom;
    temp.simpleform();
    return temp;
}

Rational Rational::operator * (Rational c)
{
    Rational temp;
    temp.numer = numer * c.numer;
    temp.denom = denom * c.denom;
    temp.simpleform();
    return temp;
}

Rational Rational::operator / (Rational c)
{
    Rational temp;
    temp.numer = numer / c.numer;
    temp.denom = denom / c.denom;
    temp.simpleform();
    return temp;
}

bool Rational::operator == (Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) == (c.numer * denom))
    temp = 1;
    return temp;
}

bool Rational::operator != (Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) != (c.numer * denom))
    temp = 1;
    return temp;
}

bool Rational::operator > (Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) > (c.numer * denom))
    temp = 1;
    return temp;
}

bool Rational::operator < (Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) < (c.numer * denom))
    temp = 1;
    return temp;
}

bool Rational::operator >= (Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) >= (c.numer * denom))
    temp = 1;
    return temp;
}

bool Rational::operator <= (Rational c)
{
    bool temp = 0;
    if ((numer * c.denom) <= (c.numer * denom))
    temp = 1;
    return temp;
}