#include <iostream>

using namespace std;

int gcd(int a, int b)
{ while (b != 0)
  { int t = a % b;
    a = b;
    b = t; }
  return a; }

struct fraction
{ int top, bot;

  fraction(int t, int b)
  { top = t;
    bot = b;
    normalise(); }
    
  void normalise()
  { int g = gcd(top, bot);
    top /= g;
    bot /= g; }

  void print()
  { cout << top << "/" << bot; } };

fraction multiply(const fraction f, const fraction g)
{ return fraction(f.top * g.top, f.bot * g.bot); }

fraction divide(const fraction f, const fraction g)
{ return fraction(f.top * g.bot, f.bot * g.top); }

fraction add(const fraction f, const fraction g)
{ return fraction(f.top * g.bot + f.bot * g.top, f.bot * g.bot); }

fraction subtract(const fraction f, const fraction g)
{ return fraction(f.top * g.bot - f.bot * g.top, f.bot * g.bot); }

bool lessthan(const fraction f, const fraction g)
{ return f.top * g.bot < f.bot * g.top; }

int main()
{ fraction half(1, 2);
  fraction quarter(1, 4);
  fraction seven_eighths(7, 8);

  fraction x = add(half, quarter);

  half.print();
  cout << " + ";
  quarter.print();
  cout << " = ";
  x.print();
  cout << "\n";

  x.print();
  cout << " < ";
  seven_eighths.print();
  cout << " = ";
  bool y = lessthan(x, seven_eighths);
  cout << (y ? "true" : "false") << "\n"; }