#include "stdafx.h"
#include<iostream>
#include<stdio.h>
#include<conio.h>
using namespace std;



int _tmain(int argc, _TCHAR* argv[])
{
    int T;
    cin>>T;
    int tests[1000];
    for(int k=0;k<T;k++) //  Take the test cases as input
        cin>>tests[k];




    for(int i=0;i<T;i++)   // the main loop that runs T times
    {
        int N=tests[i];

        int result=2*N-1;   //  the numerator of the result

        int square=N*N;   //  the denominator of the result

        for(int j=2;j<=(N/2);j++)
        {
            result=result+(N/j)-1;
        }

        for(int w=2;w<=result;w++)  //  Loop to convert fraction into irreducible form
        {
            if(result%w==0 && square%w==0)
            {
                result=result/w;
                square=square/w;
                w--;
            }
        }

        cout<<result<<"/"<<square<<endl;


    }





    return 0;
}