5. \(\frac{\left(15:\frac{5}{18}:3\frac{3}{8}\right)\cdot\left(-\frac{1}{16}\cdot\frac{11}{36}\cdot\frac{5}{48}\cdot\frac{5}{18}\right)}{\left(8\frac{21}{22}-11\frac{5}{11}\right):1\frac{2}{3}}\)

Вычислим числитель:

\[15:\frac{5}{18}:3\frac{3}{8}=15\cdot\frac{18}{5}\cdot\frac{8}{27}=16.\]

\[16\cdot\left(-\frac{1}{16}\cdot\frac{11}{36}\cdot\frac{5}{48}\cdot\frac{5}{18}\right)=-\frac{275}{31104}.\]

Вычислим знаменатель:

\[\left(8\frac{21}{22}-11\frac{5}{11}\right):1\frac{2}{3}=\left(\frac{197}{22}-\frac{252}{22}\right):\frac{5}{3}=\left(-\frac{5}{2}\right)\cdot\frac{3}{5}=-\frac{3}{2}.\]

\[\left(-\frac{275}{31104}\right):\left(-\frac{3}{2}\right)=\frac{275}{46656}.\]

Ответ: \(\frac{275}{46656}\).