\(\dfrac{3\cdot\left(0,5:1,25+\frac{7}{5}:1\frac{4}{7}-\frac{3}{11}\right)}{\left(1,5+\frac{1}{4}\right):18\frac{1}{3}}\)

Преобразуем числа:

\(0,5:1,25=\frac{1}{2}:\frac{5}{4}=\frac{2}{5}\).

\(\frac{7}{5}:1\frac{4}{7}=\frac{7}{5}:\frac{11}{7}=\frac{49}{55}\).

Скобки в числителе:

\(\frac{2}{5}+\frac{49}{55}-\frac{3}{11}=\frac{22}{55}+\frac{49}{55}-\frac{15}{55}=\frac{56}{55}\).

Числитель: \(3\cdot\frac{56}{55}=\frac{168}{55}\).

Знаменатель:

\(\left(\frac{3}{2}+\frac{1}{4}\right):\frac{55}{3}=\frac{7}{4}\cdot\frac{3}{55}=\frac{21}{220}\).

\(\frac{168}{55}:\frac{21}{220}=\frac{168}{55}\cdot\frac{220}{21}=32\).

Ответ: 32.