1 #include<iostream>
  2 #include<cstring>
  3 #include<cstdlib>
  4 #include<cstdio>
  5 #include<algorithm>
  6 #include<cmath>
  7 #include<queue>
  8 #include<map>
  9 
 10 #define N 1010
 11 #define M 15
 12 #define mod 1000000007
 13 #define mod2 100000000
 14 #define ll long long
 15 #define maxi(a,b) (a)>(b)? (a) : (b)
 16 #define mini(a,b) (a)<(b)? (a) : (b)
 17 
 18 using namespace std;
 19 
 20 int T;
 21 char s[N];
 22 int f1,f2;
 23 
 24 ll gcd(ll x,ll y)
 25 {
 26     if(y==0)
 27         return x;
 28     return gcd(y,x%y);
 29 }
 30 
 31 int main()
 32 {
 33     int i;
 34     //freopen("data.in","r",stdin);
 35     scanf("%d",&T);
 36     getchar();
 37     //for(int cnt=1;cnt<=T;cnt++)
 38     while(T--)
 39     //while(scanf("%d%d",&n,&q)!=EOF)
 40     {
 41         scanf("%s",s);
 42        // getchar()
 43         //printf(" %s\n",s);
 44         int l=strlen(s);
 45         int flag=0;
 46         f1=f2=0;
 47         ll x1;
 48         ll a,x;
 49         ll b=0;
 50         ll te;
 51         a=0;
 52         x1=1;
 53         x=1;
 54         ll g1,g2;
 55         ll y;
 56         for(i=2;i<l;i++){
 57             if(flag==0)
 58             {
 59                 if(s[i]!=‘(‘){
 60                     f1=1;
 61                     x1*=10;
 62                     b*=10;
 63                     b+=s[i]-‘0‘;
 64                 }
 65                 else{
 66                     flag=1;
 67                     f2=1;
 68                 }
 69             }
 70             else{
 71                 if(s[i]!=‘)‘){
 72                     x*=10;
 73                     a*=10;
 74                     a+=s[i]-‘0‘;
 75                 }
 76             }
 77            // printf("   %d %d %I64d %I64d %I64d %I64d\n",i,flag,b,x1,a,x);
 78         }
 79         //printf("   %d %d %I64d %I64d %I64d %I64d\n",f1,f2,b,x1,a,x);
 80        te=1;
 81        if(f1==1){
 82             g1=gcd(b,x1);
 83             if(g1!=0){
 84                 b/=g1;
 85                 te=x1;
 86                 x1/=g1;
 87             }
 88        }
 89 
 90         if(f2==1){
 91             y=x-1;
 92             y*=te;
 93             g2=gcd(a,y);
 94             if(g2!=0){
 95                 a/=g2;
 96                 y/=g2;
 97             }
 98         }
 99 
100 
101 
102         //printf(" %d %d %d %d\n",b,x1,a,y);
103         //printf("   %d %d %I64d %I64d %I64d %I64d\n",f1,f2,b,x1,a,y);
104         if( (f1+f2)==2){
105            // y*=x1
106 
107             ll c=(x1*a+y*b);
108             ll d=y*x1;
109             // printf(" %I64d/%I64d\n",c,d);
110             ll g3=gcd(c,d);
111             if(g3!=0){
112                 c/=g3;
113                 d/=g3;
114             }
115             printf("%I64d/%I64d\n",c,d);
116         }
117         else{
118             if(f1==1)
119                 printf("%I64d/%I64d\n",b,x1);
120             else
121                 printf("%I64d/%I64d\n",a,y);
122         }
123 
124 
125 
126 
127 
128 
129     }
130 
131     return 0;
132 }