Theo đề bài, ta có:
\(\frac{5}{6}\) > x > \(\frac{5}{7}\)
=> \(\frac{10}{12}\)> x > \(\frac{10}{14}\)
Mà \(\frac{10}{12}\) > \(\frac{10}{13}\)> \(\frac{10}{14}\)
Nên x = \(\frac{10}{13}\)
Vậy x = \(\frac{10}{13}\) để \(\frac{5}{6}\)> x > \(\frac{5}{7}\)