#include<stdio.h>
#include<string.h>

long long gcd1(long long a,long long b,long long &x,long long &y)
{
    if(b == 0)
    {
        x = 1;
        y = 0;
        return a;
    }
    long long d = gcd1(b,a%b,x,y);
    long long t = x;
    x = y;
    y = t - a/b*y;
    return d;
}


int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        long long a,b;
        scanf("%lld/%lld",&a,&b);
        long long x = 0,y = 0;
        long long p = gcd1(a,b,x,y);
        //printf("%lld,%lld\n",x,y);
        //printf("---%lld\n",p);
        //printf("==%lld %lld\n",a,b);
        if(p != 1)
        {
            printf("%lld/%lld\n",a/p,b/p);
            continue;
        }
        if(a == 1)
        {
            printf("1/%lld\n",b-1);
            continue;
        }
        long long x1 = 0,y1 = 0;
        if(x > 0)
        {
            x1 = (a + y)%a;
            y1 = (b - x)%b;
        }
        else
        {
            x1 = (a - y)%a;
            y1 = (b + x)%b;
        }
        //printf("%lld %lld %lld %lld\n",x1,y1);
        printf("%lld/%lld\n",x1,y1);
    }
    return 0;
}