#include <bits/stdc++.h>

#define F first
#define S second
#define ld long double
#define EPS 1e-9
using namespace std;

typedef long long ll;
const int N = 1e7+5;
int sq[N];
int p[N],cnt[N];
bool pr[N];
ll pre1[N];
void solve(ll ne,ll de)
{
    ll g=__gcd(ne,de);
    cout<<ne/g<<"/"<<de/g<<'\n';
}
int main ()
{
	ios::sync_with_stdio(false);
	//cin.tie(0);
	//cout.tie(0);
	//freopen("wigz.in","r",stdin);
	for(int i=2;i<N;i++)
    {
        if(!p[i])
        {
            pr[i]=1;
            for(int j=i;j<N;j+=i)
            {
                if(p[j])continue;
                p[j]=i-1;
            }

        }
    }
    for(int i=2;i*i<N;i++)
    {
        sq[i*i]=i-1;
    }
    for(int i=2;i<N;i++)
    {
        sq[i]=max(sq[i-1],sq[i]);
        ll mn=min(sq[i],p[i]);
        cnt[i]=pr[i];
        cnt[i]+=cnt[i-1];
        pre1[i]+=mn;
        pre1[i]+=pre1[i-1];
    }
	int t;
	cin>>t;
	while(t--)
    {
        int n;
        cin>>n;
        ll ne=pre1[n];
        ll de=cnt[n];
        solve(ne,de);
    }
	return(0);
}