#include <cstdio>
using namespace std;
const int N = 20005;
struct Edge {
int v, w, next;
} edge[2 * N];
int head[N];
int cnt;
void add_edge(int u, int v, int w) {
cnt++;
edge[cnt].v = v;
edge[cnt].w = w;
edge[cnt].next = head[u];
head[u] = cnt;
}
bool vis[N];
int size[N], center, max_size;
int max(int a, int b) {
return a > b ? a : b;
}
void calc_size(int u, int fa, int cnt) {
int now = 0;
size[u] = 1;
for (int v, i = head[u]; i != 0; i = edge[i].next) {
v = edge[i].v;
if (v != fa && !vis[v]) {
calc_size(v, u, cnt);
now = max(now, size[v]);
size[u] += size[v];
}
}
now = max(now, cnt - size[u]);
if (now < max_size) {
center = u;
}
}
int num[3];
void get_dis(int u, int fa, int dis) {
num[dis]++;
for (int v, i = head[u]; i != 0; i = edge[i].next) {
v = edge[i].v;
if (v != fa && !vis[v]) {
get_dis(v, u, (dis + edge[i].w) % 3);
}
}
}
int solve(int u, int w) {
num[0] = num[1] = num[2] = 0;
get_dis(u, 0, w);
return num[0] * num[0] + 2 * num[1] * num[2];
}
int dfs(int u) {
int ans = 0;
vis[u] = true;
ans += solve(u, 0);
for (int v, i = head[u]; i != 0; i = edge[i].next) {
v = edge[i].v;
if (!vis[v]) {
ans -= solve(v, edge[i].w);
max_size = 0x7fffffff;
calc_size(v, u, size[v]);
ans += dfs(center);
}
}
return ans;
}
int gcd(int a, int b) {
return b == 0 ? a : gcd(b, a % b);
}
int main() {
int n;
scanf("%d", &n);
for (int u, v, w, i = 1; i < n; i++) {
scanf("%d %d %d", &u, &v, &w);
add_edge(u, v, w % 3);
add_edge(v, u, w % 3);
}
max_size = 0x7fffffff;
calc_size(1, 0, n);
int ans = dfs(center);
int g = gcd(ans, n * n);
printf("%d/%d", ans / g, n * n / g);
return 0;
}