Найди значение выражения: a) 10 \frac{5}{9} - 1 \frac{7}{32} \cdot (4 \frac{14}{15} + 3 \frac{1}{15})

- а) $10 \frac{5}{9} - 1 \frac{7}{32} \cdot (4 \frac{14}{15} + 3 \frac{1}{15}) = 10 \frac{5}{9} - 1 \frac{7}{32} \cdot (7 \frac{15}{15}) = 10 \frac{5}{9} - 1 \frac{7}{32} \cdot 8 = 10 \frac{5}{9} - \frac{39}{32} \cdot 8 = 10 \frac{5}{9} - \frac{39}{4} = \frac{95}{9} - \frac{39}{4} = \frac{380 - 351}{36} = \frac{29}{36}$ - б) $\frac{1}{13} \cdot (2 \frac{3}{8} - 1 \frac{5}{6}) : 2 \frac{2}{5} + \frac{9}{10} = \frac{1}{13} \cdot (\frac{19}{8} - \frac{11}{6}) : \frac{12}{5} + \frac{9}{10} = \frac{1}{13} \cdot (\frac{57 - 44}{24}) : \frac{12}{5} + \frac{9}{10} = \frac{1}{13} \cdot \frac{13}{24} : \frac{12}{5} + \frac{9}{10} = \frac{1}{24} \cdot \frac{5}{12} + \frac{9}{10} = \frac{5}{288} + \frac{9}{10} = \frac{25 + 1296}{1440} = \frac{1321}{1440}$ - в) $(5 \frac{8}{15} - 4 \frac{7}{10}) \cdot 2 \frac{2}{5} = (\frac{83}{15} - \frac{47}{10}) \cdot \frac{12}{5} = (\frac{166 - 141}{30}) \cdot \frac{12}{5} = \frac{25}{30} \cdot \frac{12}{5} = \frac{5}{6} \cdot \frac{12}{5} = 2$ - г) $(\frac{5}{24} + \frac{5}{16}) \cdot (1 \frac{2}{3} - \frac{3}{5}) \cdot 1 \frac{4}{5} = (\frac{10 + 15}{48}) \cdot (\frac{5}{3} - \frac{3}{5}) \cdot \frac{9}{5} = \frac{25}{48} \cdot (\frac{25 - 9}{15}) \cdot \frac{9}{5} = \frac{25}{48} \cdot \frac{16}{15} \cdot \frac{9}{5} = \frac{5}{3} \cdot \frac{1}{1} \cdot \frac{3}{5} = 1$ **Ответ:** а) $\frac{29}{36}$ б) $\frac{1321}{1440}$ в) $2$ г) $1$