#include <iostream>
using namespace std;

int CMMDC (int a, int b);
int Verifica (int n);

int main()
{
	int n, a, b, S, res;
	cin >> n;

	for (int i = 1; i <= n; ++i)
	{
		cin >> a >> b;
		S = CMMDC (a, b);
		a /= S;
		b /= S;
		res = Verifica (b);

		if (res == 0)
			cout << "fractie finita" << '\n';
		else if (res == 1)
			cout << "fractie periodica simpla" << '\n';
		else
			cout << "fractie periodica mixta" << '\n';
	}

	return 0;
}

int CMMDC (int a, int b)
{
	int r;
	while (b != 0)
	{
		r = a % b;
		a = b;
		b = r;
	}

	return a;
}

int Verifica (int n)
{
	bool DoiSauCinci = false;
	bool AltFactor = false;
	int d = 2;

	while (n != 1)
	{
		while (n % d == 0)
		{
			if (d == 2 || d == 5)
				DoiSauCinci = true; // fractie finita
			else
				AltFactor = true; // fractie periodica simpla

			n /= d;
		}

		if (d == 2)
			d = 3;
		else
			d += 2;

		if (d * d > n)
			d = n;
	}

	if (DoiSauCinci && AltFactor)
		return 2; // fractie periodica mixta

	if (AltFactor)
		return 1;
	return 0;
}