Вычислите: 4/15 + 6/35 : (2 - 1 41/49) - 1 1/6

1) $\frac{4}{15} + \frac{6}{35} : \left( 2 - 1\frac{41}{49} \right) - 1\frac{1}{6} = \frac{4}{15} + \frac{6}{35} : \frac{8}{49} - \frac{7}{6} = \frac{4}{15} + \frac{6}{35} \cdot \frac{49}{8} - \frac{7}{6} = \frac{4}{15} + \frac{3 \cdot 7}{5 \cdot 4} - \frac{7}{6} = \frac{4}{15} + \frac{21}{20} - \frac{7}{6} = \frac{16 + 63 - 70}{60} = \frac{9}{60} = \frac{3}{20} = 0,15$ 2) $\frac{11}{14} + \frac{8}{15} : \left( 4 - 2\frac{26}{27} \right) - 1\frac{1}{10} = \frac{11}{14} + \frac{8}{15} : 1\frac{1}{27} - \frac{11}{10} = \frac{11}{14} + \frac{8}{15} : \frac{28}{27} - \frac{11}{10} = \frac{11}{14} + \frac{8}{15} \cdot \frac{27}{28} - \frac{11}{10} = \frac{11}{14} + \frac{2 \cdot 9}{5 \cdot 7} - \frac{11}{10} = \frac{11}{14} + \frac{18}{35} - \frac{11}{10} = \frac{55 + 36 - 77}{70} = \frac{14}{70} = \frac{1}{5} = 0,2$ 3) $\frac{17}{12} : 3\frac{2}{5} - \frac{2}{5} \cdot \left( 2 - 1\frac{1}{12} \right) = \frac{17}{12} : \frac{17}{5} - \frac{2}{5} \cdot \frac{11}{12} = \frac{17}{12} \cdot \frac{5}{17} - \frac{1 \cdot 11}{5 \cdot 6} = \frac{5}{12} - \frac{11}{30} = \frac{25 - 22}{60} = \frac{3}{60} = \frac{1}{20} = 0,05$ 4) $-\frac{6}{5} + \frac{12}{35} \cdot 1\frac{13}{15} + 5 : 7\frac{1}{2} = -\frac{6}{5} + \frac{12}{35} \cdot \frac{28}{15} + 5 : \frac{15}{2} = -\frac{6}{5} + \frac{4 \cdot 4}{5 \cdot 5} + 5 \cdot \frac{2}{15} = -\frac{6}{5} + \frac{16}{25} + \frac{2}{3} = \frac{-90 + 48 + 50}{75} = \frac{8}{75}$ **Ответ:** 1) 0,15; 2) 0,2; 3) 0,05; 4) 8/75.