5) \(1\frac{31}{32} \cdot 3\frac{1}{5} + (8\frac{5}{9} \cdot \frac{6}{35} + 3\frac{8}{15}) \cdot \frac{7}{50}\)

5) \(1\frac{31}{32} \cdot 3\frac{1}{5} + (8\frac{5}{9} \cdot \frac{6}{35} + 3\frac{8}{15}) \cdot \frac{7}{50} = (\frac{32+31}{32} \cdot \frac{3\cdot5+1}{5}) + (\frac{8\cdot9+5}{9} \cdot \frac{6}{35} + \frac{3\cdot15+8}{15}) \cdot \frac{7}{50} = \frac{63}{32} \cdot \frac{16}{5} + (\frac{77}{9} \cdot \frac{6}{35} + \frac{53}{15}) \cdot \frac{7}{50} = \frac{63}{2} \cdot \frac{1}{5} + (\frac{11}{3} \cdot \frac{2}{5} + \frac{53}{15}) \cdot \frac{7}{50} = \frac{63}{10} + (\frac{22}{15} + \frac{53}{15}) \cdot \frac{7}{50} = \frac{63}{10} + \frac{75}{15} \cdot \frac{7}{50} = \frac{63}{10} + 5 \cdot \frac{7}{50} = \frac{63}{10} + \frac{7}{10} = \frac{70}{10} = 7\)