#include <iostream>

using namespace std;

int main()
{
    int n,a,b,x,y;
    cin>>n;
    for (int i=1;i<=n;i++)
    {
        cin>>x>>y;
         a=x;
         b=y;
        while (b!=0)
        {
            int r=a%b;
            a=b;
            b=r;
        }
        x=x/a;
        y=y/a;
        int c2=0,c5=0;
        while (y%2==0)
        {
            c2++;
            y=y/2;
        }
        while (y%5==0)
        {
            c5++;
            y=y/5;
        }
        if (y==1) cout<<"fractie finita\n";
        else
            if (c2==0 && c5==0)
                cout<<"fractie periodica simpla\n";
        else cout<<"fractie periodica mixta\n";
    }
    return 0;
}