Question

Найдите значение выражения
(1/22 - 1/55) * 66​

Answer 1

$(\tt\displaystyle\frac{1}{22}-\frac{1}{55})*66=(\frac{1*5}{22*5}-\frac{1*2}{55*2})*66=\\\\=(\frac{5}{110}-\frac{2}{110})*66=\frac{3}{110}*\frac{66}{1}=\frac{3}{11*10}*\frac{11*6}{1}=$

$=\tt\displaystyle\frac{3*11*6}{11*10}=\frac{18}{10}=\frac{9*2}{5*2}=\frac{9}{5}=1\frac{4}{5}=1,8$