Задание 2. Найдите значение выражения. 1) (9/16 + 2 3/8) * 4 2) (4/9 - 3 1/15) * 9 3) (2 3/4 + 2 1/5) * 16 4) (1 11/16 - 3 7/8) * 4

Решение:

1. \( \left( \frac{9}{16} + 2\frac{3}{8} \right) \cdot 4 = \left( \frac{9}{16} + \frac{19}{8} \right) \cdot 4 = \left( \frac{9}{16} + \frac{38}{16} \right) \cdot 4 = \frac{47}{16} \cdot 4 = \frac{47}{4} = 11\frac{3}{4} \)
2. \( \left( \frac{4}{9} - 3\frac{1}{15} \right) \cdot 9 = \left( \frac{4}{9} - \frac{46}{15} \right) \cdot 9 = \left( \frac{20}{45} - \frac{138}{45} \right) \cdot 9 = \frac{-118}{45} \cdot 9 = \frac{-118}{5} = -23\frac{3}{5} \)
3. \( \left( 2\frac{3}{4} + 2\frac{1}{5} \right) \cdot 16 = \left( \frac{11}{4} + \frac{11}{5} \right) \cdot 16 = \left( \frac{55}{20} + \frac{44}{20} \right) \cdot 16 = \frac{99}{20} \cdot 16 = \frac{99 \cdot 4}{5} = \frac{396}{5} = 79\frac{1}{5} \)
4. \( \left( 1\frac{11}{16} - 3\frac{7}{8} \right) \cdot 4 = \left( \frac{27}{16} - \frac{31}{8} \right) \cdot 4 = \left( \frac{27}{16} - \frac{62}{16} \right) \cdot 4 = \frac{-35}{16} \cdot 4 = \frac{-35}{4} = -8\frac{3}{4} \)

Ответ: 1) 11 3/4; 2) -23 3/5; 3) 79 1/5; 4) -8 3/4.