Question

Решите пример: (-23,8: 2 4/5+11,7)* 1 2/3 .

Answer 1

$( - 23.8 : 2 \frac{4}{5} + 11.7) \times 1 \frac{2}{3} = \frac{16}{3} \\ 1) - 23.8: 2 \frac{4}{5} = - \frac{238}{10} : \frac{14}{5} = - \frac{238}{10} \times \frac{5}{14} = - \frac{238 \times 5}{10 \times 14} = - \frac{17 \times 1}{2 \times 1} = - \frac{17}{2} = \\ = - 8.5 \\ \\ 2) \: - 8.5 + 11.7 = 3.2 \\ \\ 3) \: 3.2 \times 1 \frac{2}{3} = 3.2 \times \frac{5}{3} = \frac{32}{10} \times \frac{5}{3} = \frac{32 \times 5}{10 \times 3} = \frac{32 \times 1}{2 \times 3} = \frac{32}{6} = \frac{16 \times 2}{2 \times 3} = \frac{16}{3} . \\ \\ otvet : \frac{16}{3}$
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