$(7 - 1\frac{4}{23} * 3\frac{5}{6} + 3\frac{1}{6} * \frac{3}{19}) : \frac{2}{3} - \frac{2}{3} = (7 - \frac{27}{23} * \frac{23}{6} + \frac{19}{6} * \frac{3}{19}) * \frac{3}{2} - \frac{2}{3} = (7 - \frac{9}{1} * \frac{1}{2} + \frac{1}{2} * \frac{1}{1}) * \frac{3}{2} - \frac{2}{3} = (7 - \frac{9}{2} + \frac{1}{2}) * \frac{3}{2} - \frac{2}{3} = (7 - 4) * \frac{3}{2} - \frac{2}{3} = 3 * \frac{3}{2} - \frac{2}{3} = \frac{9}{2} - \frac{2}{3} = \frac{27}{6} - \frac{4}{6} = \frac{23}{6} = 3\frac{5}{6}$

$\frac{3}{16} * 1\frac{3}{5} : (7\frac{1}{2} * \frac{1}{10} - \frac{3}{5}) - 3\frac{1}{2} : 4\frac{2}{3} = \frac{3}{16} * \frac{8}{5} : (\frac{15}{2} * \frac{1}{10} - \frac{3}{5}) - \frac{7}{2} : \frac{14}{3} = \frac{3}{2} * \frac{1}{5} : (\frac{3}{2} * \frac{1}{2} - \frac{3}{5}) - \frac{7}{2} * \frac{3}{14} = \frac{3}{10} : (\frac{3}{4} - \frac{3}{5}) - \frac{1}{2} * \frac{3}{2} = \frac{3}{10} : (\frac{15}{20} - \frac{12}{20}) - \frac{3}{4} = \frac{3}{10} : \frac{3}{20} - \frac{3}{4} = \frac{3}{10} * \frac{20}{3} - \frac{3}{4} = 2 - \frac{3}{4} = 1\frac{1}{4}$