#include int main () { int t = 0; int res = 0; long long ps[300001][10] = {}; int pcnt[300001] = {}; for (int i = 2LL; i <= 300000; i++) { int tmp = i; for (int p = 2; p*p <= i; p++) { if (tmp%p == 0) { ps[i][pcnt[i]] = p; pcnt[i]++; while (tmp%p == 0) { tmp /= p; } } } if (tmp > 1) { ps[i][pcnt[i]] = tmp; pcnt[i]++; } } res = scanf("%d", &t); while (t > 0) { long long n = 0LL; long long k = 0LL; long long ans[2] = { 1LL, 0LL }; long long l[2] = { 0LL, 1LL }; res = scanf("%lld", &n); res = scanf("%lld", &k); while (l[0]+ans[0] <= n && l[1]+ans[1] <= n) { long long nxt[2] = { l[0]+ans[0], l[1]+ans[1] }; long long cnt = 0LL; for (long long i = 1LL; i <= n; i += 1LL) { long long d = (nxt[0]*i)/nxt[1]; long long diff = 0LL; if (d > n) { d = n; } for (int j = 1; j < (1< 0) { p *= ps[(int)i][l]; bcnt++; } } if (bcnt%2 == 1) { diff += d/p; } else { diff -= d/p; } } cnt += d-diff; } /*if (cnt < k) { l[0] += ans[0]; l[1] += ans[1]; } else { ans[0] += l[0]; ans[1] += l[1]; }*/ if (cnt < k) { long long t[2] = { 1LL, n }; if (t[1] > (n-l[0])/ans[0]) { t[1] = (n-l[0])/ans[0]; } if (ans[1] > 0LL && t[1] > (n-l[1])/ans[1]) { t[1] = (n-l[1])/ans[1]; } t[1] += 1LL; while (t[1]-t[0] > 1LL) { long long nxt_v = (t[0]+t[1])/2LL; long long nxt[2] = { l[0]+nxt_v*ans[0], l[1]+nxt_v*ans[1] }; long long cnt = 0LL; for (long long i = 1LL; i <= n; i += 1LL) { long long d = (nxt[0]*i)/nxt[1]; long long diff = 0LL; if (d > n) { d = n; } for (int j = 1; j < (1< 0) { p *= ps[(int)i][l]; bcnt++; } } if (bcnt%2 == 1) { diff += d/p; } else { diff -= d/p; } } cnt += d-diff; } if (cnt < k) { t[0] = nxt_v; } else { t[1] = nxt_v; } } l[0] += t[0]*ans[0]; l[1] += t[0]*ans[1]; } else { long long t[2] = { 1LL, n }; if (l[0] > 0LL && t[1] > (n-ans[0])/l[0]) { t[1] = (n-ans[0])/l[0]; } if (t[1] > (n-ans[1])/l[1]) { t[1] = (n-ans[1])/l[1]; } t[1] += 1LL; while (t[1]-t[0] > 1LL) { long long nxt_v = (t[0]+t[1])/2LL; long long nxt[2] = { nxt_v*l[0]+ans[0], nxt_v*l[1]+ans[1] }; long long cnt = 0LL; for (long long i = 1LL; i <= n; i += 1LL) { long long d = (nxt[0]*i)/nxt[1]; long long diff = 0LL; if (d > n) { d = n; } for (int j = 1; j < (1< 0) { p *= ps[(int)i][l]; bcnt++; } } if (bcnt%2 == 1) { diff += d/p; } else { diff -= d/p; } } cnt += d-diff; } if (cnt >= k) { t[0] = nxt_v; } else { t[1] = nxt_v; } } ans[0] += t[0]*l[0]; ans[1] += t[0]*l[1]; } } if (ans[1] == 0LL) { printf("-1\n"); } else { printf("%lld/%lld\n", ans[0], ans[1]); } t--; } return 0; }