$\text{a)}$   $2\cdot {\left(-2\right)}^2-6\cdot \left(-\frac{1}{2}\right)=2\cdot 4+3=11$

$\text{b)}$   $\frac{\left(-\frac{1}{2}\right)\cdot \left(\frac{2}{3}\right)}{-\frac{3}{4}}-{\left(-\frac{1}{2}\right)}^2$ $=\left(-\frac{1}{3}\right)\cdot \left(-\frac{4}{3}\right)-\frac{1}{4}=\frac{4}{9}-\frac{1}{4}=\frac{16}{36}-\frac{9}{36}=\frac{7}{36}$ $=\left(-\frac{1}{3}\right)\cdot \left(-\frac{4}{3}\right)-\frac{1}{4}=\frac{4}{9}-\frac{1}{4}=\frac{16}{36}-\frac{9}{36}=\frac{7}{36}$

$\text{c)}$   $\frac{-2}{2}+\frac{4,2}{3}-\frac{-3,6}{6}=$ $-1+1,4+0,6=1$

$\text{d)}$   $\left(4\cdot \left(-\frac{1}{2}\right)-3\right)\left(3\cdot \left(-\frac{1}{2}\right)+2\right)$ $-\left(-\frac{1}{2}\right)\cdot \left(-\frac{1}{2}-1\right)=$ $\left(-5\right)\left(\frac{1}{2}\right)-\frac{3}{4}=-\frac{5}{2}-\frac{3}{4}=-\frac{10}{4}-\frac{3}{4}=-\frac{13}{4}$

$\text{e)}$   $\frac{-\frac{1}{5}}{0,1}-\frac{-\frac{1}{5}+0,1}{3\cdot \left(-\frac{1}{5}\right)}-10$ $=$ $-\frac{10}{5}-\left(\frac{5}{15}-\frac{5}{30}\right)-10=$ $-2-\left(\frac{1}{6}\right)-10=$ $-12\frac{1}{6}$

$\text{f)}$   $4\cdot \frac{1}{4}\cdot {\left(-3\right)}^2\cdot {\left(-0,5\right)}^3-3\cdot \left(-3\right)\cdot {\left(\frac{1}{4}\right)}^2=$   $9\cdot \left(-\frac{1}{8}\right)+\frac{9}{16}$ $=-\frac{9}{8}+\frac{9}{16}=-\frac{9}{16}$