a.

$4\frac{1}{5}\cdot 2,7:5,67=4,2\cdot 2,7:5,67=11,34:5,67=2$

b.

$\left(8\frac{1}{2}-4,75\right):15=\left(8,5-4,75\right):15=3,75:15=7,5:30=0,25$ $\left(8\frac{1}{2}-4,75\right):15=\left(8,5-4,75\right):15=3,75:15=7,5:30=0,25$

c.

$\left(0,76:\frac{4}{5}-0,5\right)\cdot 1\frac{1}{3}=\left(0,76:0,8-0,5\right)\cdot 1\frac{1}{3}=\left(0,95-0,5\right)\cdot 1\frac{1}{3}=0,45\cdot 1\frac{1}{3}=\frac{{\sout{9}}^3}{{\sout{20}}^5}\cdot \frac{{\sout{4}}^1}{{\sout{3}}^1}=\frac{3}{5}$

d.

$\left[\left(13-11\frac{1}{2}\right):0,03\right]\cdot 0,026=\left(1,5:0,03\right)\cdot 0,026=50\cdot 0,026=1,3$

e.

$\left[1\frac{5}{7}:\left(3,6-1,8\cdot 1\frac{1}{3}\right)\right]\cdot 1,4=\left[\frac{12}{7}:\left(\frac{36}{10}-\frac{18}{10}\cdot \frac{4}{3}\right)\right]\cdot \frac{14}{10}=\left[\frac{12}{7}:\left(\frac{36}{10}-\frac{24}{10}\right)\right]\cdot \frac{14}{10}=$

$=\left(\frac{12}{7}:\frac{12}{10}\right)\cdot \frac{14}{10}=\frac{{\sout{12}}^1}{{\sout{7}}^1}\cdot \frac{{\sout{10}}^1}{{\sout{12}}^1}\cdot \frac{{\sout{14}}^2}{{\sout{10}}^1}=2$