9. Вычислите: 5-1-1⋅(5+) 16 8 6 14 ответ.

Вычислим:

1) $$5 \frac{1}{16} - 1 \frac{1}{8} = 5 \frac{1}{16} - 1 \frac{2}{16} = 4 \frac{17}{16} - 1 \frac{2}{16} = 3 \frac{15}{16}$$

2) $$5 \frac{3}{6} + \frac{3}{14} = 5 \frac{3 \cdot 7}{6 \cdot 7} + \frac{3 \cdot 3}{14 \cdot 3} = 5 \frac{21}{42} + \frac{9}{42} = 5 \frac{30}{42} = 5 \frac{5}{7}$$

3) $$1 \cdot 5 \frac{5}{7} = 5 \frac{5}{7}$$

4) $$3 \frac{15}{16} - 5 \frac{5}{7} = \frac{63}{16} - \frac{40}{7} = \frac{63 \cdot 7}{16 \cdot 7} - \frac{40 \cdot 16}{7 \cdot 16} = \frac{441}{112} - \frac{640}{112} = - \frac{199}{112} = -1 \frac{87}{112}$$

Ответ: $$-1 \frac{87}{112}$$