using System;

public class FractionCalculator

{

    int firstNumberNumerator, secondNumberNumerator, firstNumberDenominator, secondNumberDenominator;

    string result;

    //Diese Funktion gibt uns den größten gemeinsamen Teiler von a und b (Wird später gebraucht um die Ausgabe zu verkürzen)

    public static int gcd(int a, int b)

    {

        // Alles dividiert 0

        if (a == 0)

          return b;

        if (b == 0)

          return a;

        // base case

        if (a == b)

            return a;

        // a ist größer

        if (a > b)

            return gcd(a-b, b);

        else 

            return gcd(a, b-a);

    }

    //methods

    static string Add(int fnn, int fnd, int snn, int snd) {

        string result;

        //2/5 + 3/5 = 5/5

        int denominatorResult = snd * fnd;

        int numeratorResult = fnn * snd + snn * fnd;

        //simplifying the result fractal (verkürzt die Ausgabe der Bruchzahl)

        int div = gcd (numeratorResult, denominatorResult);

        numeratorResult = numeratorResult / div;

        denominatorResult = denominatorResult / div;

        if (numeratorResult % denominatorResult == 0)

            result = "1";   

            //Vorbereitung der Ausgabe

                else

            result = numeratorResult.ToString() + "/" + denominatorResult.ToString();

                //Ausgabe

        return result;

    }

    static string Sub(int fnn, int fnd, int snn, int snd) {

        string result;

        int denominatorResult = snd * fnd;

                int numeratorResult = fnn * snd - snn * fnd;

                //verkürzt die Ausgabe der Bruchzahl

                int div = gcd (numeratorResult, denominatorResult);

                numeratorResult = numeratorResult / div;

                denominatorResult = denominatorResult / div;

                if (numeratorResult % denominatorResult == 0)

                    result = "1";

                else

                    //Vorbereitung der Ausgabe

                    result = numeratorResult.ToString() + "/" + denominatorResult.ToString();

                //Ausgabe

        return result;

    }

    static string Multiply(int fnn, int fnd, int snn, int snd) {

        string result;

        int numeratorResult = fnn * snn;

                int denominatorResult = fnd * snd;

                int div = gcd (numeratorResult, denominatorResult);

                //verkürzt die Ausgabe

                numeratorResult = numeratorResult / div;

                denominatorResult = denominatorResult / div;

                if (numeratorResult % denominatorResult == 0)

                    result = "1";

                else

                    //Vorbereitung der Ausgabe

                    result = numeratorResult.ToString() + "/" + denominatorResult.ToString();

                //Ausgabe

        return result;

    }

    static string Divide(int fnn, int fnd, int snn, int snd) {

        string result;

        //Ähnlich zur Multiplikation

                //für eine division drehen wir die zweite Zahl um und multiplizieren

                int numeratorResult = fnn * snd;

                int denominatorResult = fnd * snn;

                //verkürzt die Ausgabe

                int div = gcd (numeratorResult, denominatorResult);

                numeratorResult = numeratorResult / div;

                denominatorResult = denominatorResult / div;

                if (numeratorResult % denominatorResult == 0)

                    result = "1";

                else

                    //Vorbereitung der Ausgabe

                    result = numeratorResult.ToString() + "/" + denominatorResult.ToString();

                //Ausgabe

        return result;

    }

    static string Pow(int fnn, int fnd, int secondNumber) {

        // 2/5 ^ 3/5

        string result;

        int numeratorResult = Convert.ToInt32(Math.Pow(fnn , secondNumber));

        int denominatorResult = Convert.ToInt32(Math.Pow(fnd , secondNumber));

        //verkürzt die Ausgabe

                int div = gcd (numeratorResult, denominatorResult);

                numeratorResult = numeratorResult / div;

                denominatorResult = denominatorResult / div;

                if (numeratorResult % denominatorResult == 0)

                    result = "1";

                else 

                    //Vorbereitung der Ausgabe

                    result = numeratorResult.ToString() + "/" + denominatorResult.ToString();

                //Ausgabe

        return result;

    }

    static string Rad(int fnn, int fnd) {

        double numeratorResult = Math.Pow(fnn , 0.5);

        double denominatorResult = Math.Pow(fnd , 0.5);

        //verkürzt die Ausgabe 

        /*

                int div = gcd (numeratorResult, denominatorResult);

                numeratorResult = numeratorResult / div;

                denominatorResult = denominatorResult / div;

                if (numeratorResult % denominatorResult == 0)

                    result = "1";

                else */

                    //Vorbereitung der Ausgabe

                    string result = Convert.ToString(numeratorResult /denominatorResult);

                //Ausgabe

        return result;

    }

    //main

    public static void Main()

    {       

        //findet den Zähler und den Nenner

        /*

        firstNumberNumerator = Convert.ToInt32(firstNumber.Substring(0,firstNumber.IndexOf("/")));

        if (operation != "rad" && operation != "^")

            secondNumberNumerator = Convert.ToInt32(secondNumber.Substring(0,secondNumber.IndexOf("/")));

            firstNumberDenominator = Convert.ToInt32(firstNumber.Substring(firstNumber.IndexOf("/")+1));

        if (operation != "rad" && operation != "^")

            secondNumberDenominator = Convert.ToInt32(secondNumber.Substring(secondNumber.IndexOf("/")+1));

        if (operation == "^") {

            secondNumberInt = Convert.ToInt32(secondNumber);

        }

        */

        Console.WriteLine("starting...");

        //test 1

        String fn1 = "23/5";

        String sn1 = "4/65";

        int fnn1 = Convert.ToInt32(fn1.Substring(0,fn1.IndexOf("/")));

        int fnd1 = Convert.ToInt32(fn1.Substring(fn1.IndexOf("/")+1));

        int snn1 = Convert.ToInt32(sn1.Substring(0,sn1.IndexOf("/")));

        int snd1 = Convert.ToInt32(sn1.Substring(sn1.IndexOf("/")+1));

        string[] test_result_one = { Add(fnn1, fnd1, snn1, snd1), Sub(fnn1, fnd1, snn1, snd1), Multiply(fnn1, fnd1, snn1, snd1), Divide(fnn1, fnd1, snn1, snd1), Pow(fnn1, fnd1, snn1), Rad(fnn1, fnd1)};

        //test 2

        String fn2 = "23/5";

        String sn2 = "4/65";

        int fnn2 = Convert.ToInt32(fn2.Substring(0,fn2.IndexOf("/")));

        int fnd2 = Convert.ToInt32(fn2.Substring(fn2.IndexOf("/")+1));

        int snn2 = Convert.ToInt32(sn2.Substring(0,sn2.IndexOf("/")));

        int snd2 = Convert.ToInt32(sn2.Substring(sn2.IndexOf("/")+1));

        string[] test_result_two = { Add(fnn2, fnd2, snn2, snd2), Sub(fnn2, fnd2, snn2, snd2), Multiply(fnn2, fnd2, snn2, snd2), Divide(fnn2, fnd2, snn2, snd2), Pow(fnn2, fnd2, snn2), Rad(fnn2, fnd2)};

        //test 3

        String fn = "23/5";

        String sn = "4/65";

        int fnn = Convert.ToInt32(fn.Substring(0,fn.IndexOf("/")));

        int fnd = Convert.ToInt32(fn.Substring(fn.IndexOf("/")+1));

        int snn = Convert.ToInt32(sn.Substring(0,sn.IndexOf("/")));

        int snd = Convert.ToInt32(sn.Substring(sn.IndexOf("/")+1));

        string[] test_result_one = { Add(fnn, fnd, snn, snd), Sub(fnn, fnd, snn, snd), Multiply(fnn, fnd, snn, snd), Divide(fnn, fnd, snn, snd), Pow(fnn, fnd, snn), Rad(fnn, fnd)};

    }

}