Question

Найдите значение выражения
(1 2/3 - 1/6) * 2 2/3 : 5 5/6

Answer 1

$(1\frac{2}{3}-\frac{1}{6})*2\frac{2}{3}:5\frac{5}{6}= (\frac{5}{3}-\frac{1}{6})*\frac{8}{3}:\frac{35}{6}= (\frac{5}{3}-\frac{1}{6})*\frac{8}{3}:\frac{35}{6}= (\frac{10}{6}-\frac{1}{6})*\frac{8}{3}:\frac{35}{6}=\\\\= \frac{9}{6}*\frac{8}{3}:\frac{35}{6}= \frac{3}{3}*\frac{4}{1}:\frac{35}{6}=\frac{12}{3}:\frac{35}{6}=\frac{12}{3}*\frac{6}{35}=4*\frac{6}{35}=\frac{24}{35}$