2. Вычислите: 1 13/14 - (2 - 1 11/35) : 9/25 + 4/21. Запишите полностью решение и ответ.

### Решение заданий **2. Вычислите:** $1 \frac{13}{14} - (2 - 1 \frac{11}{35}) : \frac{9}{25} + \frac{4}{21}$ 1) $2 - 1 \frac{11}{35} = \frac{35}{35} - \frac{11}{35} = \frac{24}{35}$ 2) $\frac{24}{35} : \frac{9}{25} = \frac{24}{35} \cdot \frac{25}{9} = \frac{8}{7} \cdot \frac{5}{3} = \frac{40}{21} = 1 \frac{19}{21}$ 3) $1 \frac{13}{14} - 1 \frac{19}{21} = \frac{27}{14} - \frac{40}{21} = \frac{81}{42} - \frac{80}{42} = \frac{1}{42}$ 4) $\frac{1}{42} + \frac{4}{21} = \frac{1}{42} + \frac{8}{42} = \frac{9}{42} = \frac{3}{14}$ **Ответ:** $\frac{3}{14}$ --- **3. Вычислите:** $3 \frac{9}{10} - (2 - 1 \frac{11}{35}) : \frac{9}{49} + \frac{1}{2}$ 1) $2 - 1 \frac{11}{35} = \frac{24}{35}$ 2) $\frac{24}{35} : \frac{9}{49} = \frac{24}{35} \cdot \frac{49}{9} = \frac{8}{5} \cdot \frac{7}{3} = \frac{56}{15} = 3 \frac{11}{15}$ 3) $3 \frac{9}{10} - 3 \frac{11}{15} = \frac{39}{10} - \frac{56}{15} = \frac{117}{30} - \frac{112}{30} = \frac{5}{30} = \frac{1}{6}$ 4) $\frac{1}{6} + \frac{1}{2} = \frac{1}{6} + \frac{3}{6} = \frac{4}{6} = \frac{2}{3}$ **Ответ:** $\frac{2}{3}$ --- **4. Вычислите:** $\frac{9}{10} + \frac{4}{9} : (2 - 1 \frac{11}{21}) - 1 \frac{2}{3}$ 1) $2 - 1 \frac{11}{21} = \frac{10}{21}$ 2) $\frac{4}{9} : \frac{10}{21} = \frac{4}{9} \cdot \frac{21}{10} = \frac{2}{3} \cdot \frac{7}{5} = \frac{14}{15}$ 3) $\frac{9}{10} + \frac{14}{15} = \frac{27}{30} + \frac{28}{30} = \frac{55}{30} = \frac{11}{6} = 1 \frac{5}{6}$ 4) $1 \frac{5}{6} - 1 \frac{2}{3} = \frac{11}{6} - \frac{5}{3} = \frac{11}{6} - \frac{10}{6} = \frac{1}{6}$ **Ответ:** $\frac{1}{6}$ --- **5. Вычислите:** $\frac{9}{22} - \frac{4}{9} : (3 - 1 \frac{8}{15}) + \frac{8}{11}$ 1) $3 - 1 \frac{8}{15} = 1 \frac{7}{15} = \frac{22}{15}$ 2) $\frac{4}{9} : \frac{22}{15} = \frac{4}{9} \cdot \frac{15}{22} = \frac{2}{3} \cdot \frac{5}{11} = \frac{10}{33}$ 3) $\frac{9}{22} - \frac{10}{33} = \frac{27}{66} - \frac{20}{66} = \frac{7}{66}$ 4) $\frac{7}{66} + \frac{8}{11} = \frac{7}{66} + \frac{48}{66} = \frac{55}{66} = \frac{5}{6}$ **Ответ:** $\frac{5}{6}$