//	1/2 + 3/4 = ?
// Let the computer do this

#include <iostream>
using namespace std;

class Fraction
{
	int numr;
	int deno;
	// reduce the fractions - p. 115
	// void reduce();
public:
	// 0/1 is the
	Fraction()
	{
		numr = 0;
		deno = 1;
	}
	Fraction(int n, int d)
	{
		numr = n;
		deno = d;
	}
	// function members
	void Set(int n, int d)
	{	numr = n;
		deno = d;
	}
	void Print()	const
	{	
		cout << numr << "/" << deno;
	}
	Fraction Addition(Fraction x)
	{
		Fraction ans;	// temporary
		ans.numr = numr * x.deno + deno * x.numr;
		ans.deno = deno * x.deno;
		// use reduce
		// ???
		return ans;
	}
	Fraction Subtraction(Fraction x)
	{
		Fraction sub;
		sub.numr = numr * x.deno - deno * x.numr;
		sub.deno = deno * x.deno;
		return sub;
	}
	Fraction Multiplication(Fraction x)
	{
		Fraction mult;
		mult.numr = numr * x.numr;
		mult.deno = deno * x.deno;
		return mult;
	}
};

// Question 1: How do you out both addends/multipliers/etc.?
// Question 2: How do you do input from keyboard?
// Question 3: How to reduce to lowest common denominator?

int main()
{
	Fraction a, b, c, d;	// c = a + b
	Fraction e, f;	// d = a - b; e = a * b

// ANSWER TO Q2
	int an, ad, bn, bd;
	cout << "The 1st fraction (numr, deno);" ;
	cin >> bn >> bd;

	a.Set(an,ad);
	b.Set(bn,bd);

	a.Set(1,2);	
	b.Set(3,4);
	
	c = a.Addition(b);
	c.Print();
	cout << "\n\n";

	d = a.Subtraction(b);
	d.Print();
        cout << "\n\n";
	
	e = a.Multiplication(b);
	e.Print();
        cout << "\n\n";
	
// ANSWER TO Q1
// Addition	
	a.Print();
	cout << " + ";
	b.Print();
	cout << " = ";
	c.Print();
	cout << "\n\n";

// Multiplication
	a.Print();
	cout << " * ";
	b.Print();
	cout << " = ";
	d.Print();
	cout << "\n\n";
	
	cout << "Hey!\n\n.";
	return 0;
}