[tex]a)\\\\( \frac{2}{3} +0,5:5):\frac{5}{6}=( \frac{2}{3} + \frac{\not{5}^1}{10} *\frac{1}{\not{5}^1})*\frac{6}{5}=(\frac{2}{3}+\frac{1}{10} ) *\frac{6}{5}=(\frac{20}{30}+\frac{3}{30} ) *\frac{6}{5}=\\\\=\frac{23}{\not{30}^5}*\frac{\not{6}^1}{5}=\frac{23}{25}\\\\b)\\\\(3,8-3*0,6:2):2\frac{1}{2}= (\frac{38}{10}-3* \frac{\not{6}^3}{10}*\frac{1}{\not{2}^1}): \frac{5}{2}= (\frac{38}{10}-\frac{9}{10})*\frac{2}{5}=\frac{29}{\not{10}^5}*\frac{\not{2}^1}{5}=\\\\=\frac{29}{25}=1\frac{4}{25}[/tex]
[tex]c)\\\\ \frac{3}{5}+0,5 :3,3=\frac{3}{5}+\frac{5}{10}:\frac{33}{10}=\frac{3}{5}+\frac{5}{\not{10}^1}*\frac{\not{10}^1}{33}= \frac{3}{5}+\frac{5}{33}= \frac{99}{165}+\frac{25}{165}=\frac{124}{165}\\\\d)\\\\1:13\frac{1}{2}: \frac{1}{2}=1: \frac{27}{2}* \frac {2}{1} =1* \frac{2}{27}* \frac {2}{1}= \frac{4}{27}[/tex]
