Fractions

using Fraction;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Fraction
{
    class Program
    {
        static void Main(string[] args)
        {
            Fraction f1 = new Fraction(5, 1);
            Fraction f2 = new Fraction(12, 64);
            Fraction f3 = f1.Add(f2);
            Console.WriteLine(f3);
            try
            {
                Fraction f4 = new Fraction(10, 0);
                Console.WriteLine(f4);
            }
            catch (Exception) { }
        }
    }

    public class Fraction //or internal
    {
        public Fraction(int numerator, int denominator)//constructor
        {
            if (denominator == 0) throw new ArgumentException("Denominator could be 0");
            Numerator = numerator;
            Denominator = denominator;
        }

        public int Numerator { get; private set; }
        public int Denominator { get; private set; }//private so that outside the class we can't change it 

        //public double Ratio => Numerator / Denominator; or

        public double Ratio
        {
            get
            {
                return (double)Numerator / Denominator;//interger division is truncated by defaut 
            }

        }

        public Fraction Reciprocal
        {
            get
            {
                return new Fraction(Denominator, Numerator);
            }
        }

        public Fraction Negative//or => new Fraction (-Numerator, Denomonator);
        {
            get
            {
                return new Fraction(-Numerator, Denominator);
            }
        }

        public Fraction Add(Fraction other)
        {
            return new Fraction(Numerator * other.Numerator, Denominator * other.Denominator);
        }

        public Fraction Divide(Fraction other) => Add(other.Reciprocal);

        public static Fraction operator +(Fraction left, Fraction right)
        {
            return left.Add(right);
        }

        public static Fraction operator -(Fraction left, Fraction right)
        {
            return left.Substract(right);
        }

        private Fraction Substract(Fraction right)
        {
            throw new NotImplementedException();
        }


        public static int LeastCommonDenominator(int a, int b)
        {
            int num1, num2;
            if (a > b)
            {
                num1 = a; num2 = b;
            }
            else
            {
                num1 = b; num2 = b;
            }
            for (int i = 1; i < num2; i++)
            {
                if ((num1 * i) % num2 == 0)
                {
                    return num1 * i;
                }
            }
            return num1 * num2;
        }

    }


}