11/15 x (4 целых 1/2 - 3 целых 2/5 : 17/20) + 1 целая 11/20

Ответ:

$\frac{23}{12}$

Пошаговое объяснение:

$\frac{11}{15}*(4\frac{1}{2}-3\frac{2}{5}:\frac{17}{20})+1\frac{11}{20} =\frac{23}{12}\\\\1)3\frac{2}{5}:\frac{17}{20}= \frac{17}{15}:\frac{17}{20}= \frac{17}{15}*\frac{20}{17}= \frac{20}{15}=\frac{4}{3}\\\\2) 4\frac{1}{2}-4=\frac{1}{2}\\\\3) \frac{11}{15}*\frac{1}{2}=\frac{11}{30}\\\\4)\frac{11}{30}+1\frac{11}{20}=\frac{22}{60}+\frac{93}{60}=\frac{115}{60}=\frac{23}{12}$