#include <cstdio>
#include <sstream>
#include <iostream>
using namespace std;
void assert(bool f) { if(!f) { int b = 0; printf("%d\n", 10/b); } }
#define TLIMIT 10000
#define NLIMIT 100000000000000000LL
long long dp[2][2][2][2];
int main() {
	int t;
	scanf("%d", &t);
	assert(1 <= t && t <= TLIMIT);
	while(t--) {
		long long n, num=0, den;
		scanf("%lld", &n); den = n*10;
		assert(1 <= n && n <= NLIMIT);
		string s;
		{ ostringstream ss; ss << n; s = ss.str(); }
		int len = s.length();
		for(char digit='0'; digit<='9'; digit++) {
			for(int i=0; i<2; i++) for(int j=0; j<2; j++) for(int k=0; k<2; k++) dp[len&1][i][j][k] = 0;
			dp[len&1][0][1][1] = dp[len&1][1][1][1] = 1;

			int nst, nlt, nfound;
			for(int i=len-1; i>=0; i--) 
				for(int lt=0; lt<2; lt++)
					for(int st=0; st<2; st++)
						for(int found=0; found<2; found++) {
							bool c=i&1, ic=1-c;
							dp[c][lt][st][found] = 0;
							for(char cdigit='0'; cdigit<='9'; cdigit++) {
								if(!lt && cdigit > s[i]) break;
								nst = st || cdigit != '0';
								nlt = lt || cdigit < s[i];
								nfound = nst && (found || cdigit == digit);
								dp[c][lt][st][found] += dp[ic][nlt][nst][nfound];
							}
						}
			num += dp[0][0][0][0];
		}
		long long a = num, b = den, c;
		while(b) { c = a % b; a = b; b = c; }
		num /= a;
		den /= a;
		printf("%lld/%lld\n", num, den);
	}
	return 0;
}