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

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