\(\frac{5}{6}+6\frac{1}{6}.\left(11\frac{94}{1591}-6\frac{38}{1951}\right):8\frac{11}{43}\)
= \(\frac{5}{6}+\frac{37}{6}.\frac{8011}{1591}:8\frac{11}{43}\)
= \(\frac{5}{6}+\frac{8011}{258}:\frac{355}{43}\)
= \(\frac{5}{6}+\frac{344473}{91590}\)
= \(\frac{1631}{355}\)