#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
using namespace std;
char s[];
long long t, y;
long long gcd(long long a, long long b)
{
long long t;
while (b)
{
t = a%b;
a = b;
b = t;
}
return a;
}
int main()
{
int sb;
scanf("%d", &sb);
while (sb--)
{
long long i;
scanf("%s", s);
t = , y = ;
long long len = strlen(s);
for (i = ; i < len; i++)
{
if (s[i] == '.') break;
t = t * + s[i] - '';
}
long long o = ;
for (; i < len; i++)
{
if (s[i] == '.') continue;
y = y * + s[i] - '';
o++;
}
long long e = ;
for (i = ; i <= o; i++) e = e * ;
printf("%lld/%lld\n", (t*e + y) / gcd(t*e + y, e), (e) / gcd(t*e + y, e));
}
return ;
}