Вычислите 4 10/11 * (8/9 - 7/12) - 9 : 2 4/7. Запишите решение и ответ.

4. $4\frac{10}{11} \cdot (\frac{8}{9} - \frac{7}{12}) - 9 : 2\frac{4}{7} = \frac{54}{11} \cdot (\frac{32}{36} - \frac{21}{36}) - 9 : \frac{18}{7} = \frac{54}{11} \cdot \frac{11}{36} - 9 \cdot \frac{7}{18} = \frac{3}{2} - \frac{7}{2} = -\frac{4}{2} = -2$ 5. $\frac{35}{36} \cdot (\frac{1}{2} + \frac{5}{14}) - \frac{5}{6} : \frac{10}{27} = \frac{35}{36} \cdot (\frac{7}{14} + \frac{5}{14}) - \frac{5}{6} \cdot \frac{27}{10} = \frac{35}{36} \cdot \frac{12}{14} - \frac{9}{4} = \frac{5}{6} - \frac{9}{4} = \frac{10}{12} - \frac{27}{12} = -\frac{17}{12} = -1\frac{5}{12}$ 6. $\frac{24}{39} \cdot (\frac{1}{2} + \frac{7}{12}) - \frac{8}{9} : \frac{10}{21} = \frac{8}{13} \cdot (\frac{6}{12} + \frac{7}{12}) - \frac{8}{9} \cdot \frac{21}{10} = \frac{8}{13} \cdot \frac{13}{12} - \frac{28}{15} = \frac{2}{3} - \frac{28}{15} = \frac{10}{15} - \frac{28}{15} = -\frac{18}{15} = -\frac{6}{5} = -1,2$ 7. $\frac{16}{25} \cdot (\frac{2}{3} + \frac{7}{12}) - \frac{9}{10} : \frac{15}{16} = \frac{16}{25} \cdot (\frac{8}{12} + \frac{7}{12}) - \frac{9}{10} \cdot \frac{16}{15} = \frac{16}{25} \cdot \frac{15}{12} - \frac{24}{25} = \frac{4}{5} - \frac{24}{25} = \frac{20}{25} - \frac{24}{25} = -\frac{4}{25}$ 8. $\frac{9}{16} \cdot (\frac{1}{4} + \frac{5}{12}) - \frac{8}{15} : \frac{16}{45} = \frac{9}{16} \cdot (\frac{3}{12} + \frac{5}{12}) - \frac{8}{15} \cdot \frac{45}{16} = \frac{9}{16} \cdot \frac{8}{12} - \frac{3}{2} = \frac{3}{8} - \frac{12}{8} = -\frac{9}{8} = -1\frac{1}{8}$ 9. $\frac{4}{3} + (-5\frac{1}{2} + \frac{5}{4} \cdot 3\frac{1}{5}) : \frac{9}{10} = \frac{4}{3} + (- \frac{11}{2} + \frac{5}{4} \cdot \frac{16}{5}) : \frac{9}{10} = \frac{4}{3} + (- \frac{11}{2} + 4) : \frac{9}{10} = \frac{4}{3} + (- \frac{3}{2}) \cdot \frac{10}{9} = \frac{4}{3} - \frac{5}{3} = -\frac{1}{3}$ 10. $\frac{5}{4} + (-7\frac{3}{4} + \frac{7}{4} \cdot 2\frac{2}{7}) : \frac{5}{9} = \frac{5}{4} + (- \frac{31}{4} + \frac{7}{4} \cdot \frac{16}{7}) : \frac{5}{9} = \frac{5}{4} + (- \frac{31}{4} + 4) : \frac{5}{9} = \frac{5}{4} + (- \frac{15}{4}) \cdot \frac{9}{5} = \frac{5}{4} - \frac{27}{4} = -\frac{22}{4} = -5,5$ 11. $-1 + (\frac{17}{24} + \frac{3}{8}) : 1\frac{5}{8} - \frac{5}{6} = -1 + (\frac{17}{24} + \frac{9}{24}) : \frac{13}{8} - \frac{5}{6} = -1 + \frac{26}{24} \cdot \frac{8}{13} - \frac{5}{6} = -1 + \frac{2}{3} - \frac{5}{6} = -\frac{6}{6} + \frac{4}{6} - \frac{5}{6} = -\frac{7}{6} = -1\frac{1}{6}$