$4\frac{4}{9} * 1\frac{1}{32} * 1\frac{1}{5} - (2\frac{11}{14} - 2\frac{2}{35}) * 4\frac{2}{3} = 2\frac{1}{10}$
1) $2\frac{11}{14} - 2\frac{2}{35} = 2\frac{55}{70} - 2\frac{4}{70} = \frac{51}{70}$;
2) $4\frac{4}{9} * 1\frac{1}{32} = \frac{40}{9} * \frac{33}{32} = \frac{5}{3} * \frac{11}{4} = \frac{55}{12} = 4\frac{7}{12}$;
3) $4\frac{7}{12} * 1\frac{1}{5} = \frac{55}{12} * \frac{6}{5} = \frac{11}{2} = 5\frac{1}{2}$;
4) $\frac{51}{70} * 4\frac{2}{3} = \frac{51}{70} * \frac{14}{3} = \frac{17}{5} * \frac{1}{1} = 3\frac{2}{5}$;
5) $5\frac{1}{2} * 3\frac{2}{5} = 5\frac{5}{10} * 3\frac{4}{10} = 2\frac{1}{10}$.