Задание 2. Найдите значение выражения

Задание 2. Найдите значение выражения:

1. \( \left( \frac{9}{16} + 2\frac{3}{8} \right) \cdot 4 \)
   \( \frac{9}{16} + 2\frac{6}{16} = \frac{9}{16} + \frac{38}{16} = \frac{47}{16} \)
   \( \frac{47}{16} \cdot 4 = \frac{47}{4} = 11\frac{3}{4} \)
2. \( \left( 4 \frac{4}{9} - 3\frac{1}{15} \right) \cdot 9 \)
   \( \frac{4}{9} = \frac{20}{45} \), \( \frac{1}{15} = \frac{3}{45} \)
   \( 4\frac{20}{45} - 3\frac{3}{45} = 1\frac{17}{45} \)
   \( 1\frac{17}{45} \cdot 9 = \frac{62}{45} \cdot 9 = \frac{62}{5} = 12\frac{2}{5} \)
3. \( \left( 2\frac{3}{4} + 2\frac{1}{5} \right) \cdot 16 \)
   \( \frac{3}{4} = \frac{15}{20} \), \( \frac{1}{5} = \frac{4}{20} \)
   \( 2\frac{15}{20} + 2\frac{4}{20} = 4\frac{19}{20} \)
   \( 4\frac{19}{20} \cdot 16 = \frac{99}{20} \cdot 16 = \frac{99 \cdot 4}{5} = \frac{396}{5} = 79\frac{1}{5} \)
4. \( \left( 1\frac{11}{16} - 3\frac{7}{8} \right) \cdot 4 \)
   \( \frac{7}{8} = \frac{14}{16} \)
   \( 1\frac{11}{16} - 3\frac{14}{16} = \frac{27}{16} - \frac{62}{16} = -\frac{35}{16} \)
   \( -\frac{35}{16} \cdot 4 = -\frac{35}{4} = -8\frac{3}{4} \)
5. \( \left( 1\frac{3}{4} + 2\frac{4}{5} \right) \cdot 30 \)
   \( \frac{3}{4} = \frac{15}{20} \), \( \frac{4}{5} = \frac{16}{20} \)
   \( 1\frac{15}{20} + 2\frac{16}{20} = 3\frac{31}{20} = 4\frac{11}{20} \)
   \( 4\frac{11}{20} \cdot 30 = \frac{91}{20} \cdot 30 = \frac{91 \cdot 3}{2} = \frac{273}{2} = 136\frac{1}{2} \)
6. \( \left( \frac{1}{13} - 2\frac{3}{4} \right) \cdot 26 \)
   \( \frac{1}{13} - \frac{11}{4} = \frac{4 - 143}{52} = -\frac{139}{52} \)
   \( -\frac{139}{52} \cdot 26 = -\frac{139}{2} = -69\frac{1}{2} \)
7. \( 1\frac{8}{17} : \left( \frac{12}{17} + 2\frac{7}{11} \right) \)
   \( \frac{12}{17} + 2\frac{7}{11} = \frac{12}{17} + \frac{29}{11} = \frac{132 + 493}{187} = \frac{625}{187} \)
   \( 1\frac{8}{17} : \frac{625}{187} = \frac{25}{17} : \frac{625}{187} = \frac{25}{17} \cdot \frac{187}{625} = \frac{1}{1} \cdot \frac{11}{25} = \frac{11}{25} \)
8. \( 3\frac{4}{9} : \left( 1\frac{5}{9} - \frac{4}{7} \right) \)
   \( 1\frac{5}{9} - \frac{4}{7} = \frac{14}{9} - \frac{4}{7} = \frac{98 - 36}{63} = \frac{62}{63} \)
   \( 3\frac{4}{9} : \frac{62}{63} = \frac{31}{9} : \frac{62}{63} = \frac{31}{9} \cdot \frac{63}{62} = \frac{1}{1} \cdot \frac{7}{2} = \frac{7}{2} = 3\frac{1}{2} \)