1. паидите значение выражения \frac{55}{8} : \frac{11}{48} ⋅ \frac{5}{6}.

\(\frac{55}{8} : \frac{11}{48} ⋅ \frac{5}{6 = \frac{55}{8} ⋅ \frac{48}{11} ⋅ \frac{5}{6}\)

Сокращаем дроби:

\(\frac{55}{8} ⋅ \frac{48}{11} ⋅ \frac{5}{6} = \frac{5 \cancel{55}}{1 \cancel{8}} ⋅ \frac{6 \cancel{48}}{1 \cancel{11}} ⋅ \frac{5}{6} = 5 ⋅ 6 ⋅ \frac{5}{6}\)

\(5 ⋅ 6 ⋅ \frac{5}{6} = 5 ⋅ \frac{6}{6} ⋅ 5 = 5 ⋅ 1 ⋅ 5 = 25\)