Решение:
$\frac{3\frac{3}{4} : 1\frac{1}{2} + 1\frac{1}{2} : 3\frac{3}{4} * 2\frac{1}{2}}{2 : 3\frac{1}{5} + 3\frac{1}{4} : 13 : \frac{2}{3}} = \frac{\frac{15}{4} : \frac{3}{2} + \frac{3}{2} : \frac{15}{4} * \frac{5}{2}}{2 : \frac{16}{5} + \frac{13}{4} : 13 : \frac{2}{3}} = \frac{\frac{15}{4} * \frac{2}{3} + \frac{3}{2} * \frac{4}{15} * \frac{5}{2}}{2 * \frac{5}{16} + \frac{13}{4} * \frac{1}{13} * \frac{3}{2}} = \frac{\frac{5}{2} + 1}{\frac{5}{8} + \frac{3}{8}} = \frac{\frac{7}{2}}{1} = 3\frac{1}{2}$
Ответ: $3\frac{1}{2}$

Решение:
$\frac{15 : \frac{5}{18} : 3\frac{3}{8} * (\frac{1}{16} + \frac{11}{36} + \frac{5}{48} + \frac{5}{18})}{(11\frac{5}{11} - 8\frac{21}{22}) : 1\frac{2}{3}} = \frac{15 * \frac{18}{5} * \frac{8}{27} * (\frac{3}{48} + \frac{11}{36} + \frac{5}{48} + \frac{10}{36})}{(11\frac{10}{22} - 8\frac{21}{22}) * \frac{3}{5}} = \frac{15 * \frac{18}{5} * \frac{8}{27} * (\frac{1}{6} + \frac{7}{12})}{2\frac{11}{22} * \frac{3}{5}} = \frac{15 * \frac{18}{5} * \frac{8}{27} * \frac{2 + 7}{12}}{\frac{5}{2} * \frac{3}{5}} = \frac{15 * \frac{18}{5} * \frac{8}{27} * \frac{3}{4}}{\frac{3}{2}} = \frac{12}{\frac{3}{2}} = 12 * \frac{2}{3} = 8$
Ответ: 8