$\text{a)}2\frac{2}{3}\cdot 3\frac{3}{4}=\frac{{\sout{8}}^2}{{\sout{3}}^1}\cdot \frac{{\sout{15}}^5}{{\sout{4}}^1}=2\cdot 5=10$  

$\text{b)}12\frac{4}{5}\cdot 2\frac{3}{16}=\frac{{\sout{64}}^4}{{\sout{5}}^1}\cdot \frac{{\sout{35}}^7}{{\sout{16}}^1}=4\cdot 7=28$ $\text{b)}12\frac{4}{5}\cdot 2\frac{3}{16}=\frac{{\sout{64}}^4}{{\sout{5}}^1}\cdot \frac{{\sout{35}}^7}{{\sout{16}}^1}=4\cdot 7=28$  

$\text{c)}\frac{{\sout{4}}^1}{{\sout{21}}^3}\cdot \frac{{\sout{7}}^1}{{\sout{12}}^3}\cdot \frac{3}{5}=\frac{1}{{\sout{3}}^1}\cdot \frac{1}{3}\cdot \frac{{\sout{3}}^1}{5}=\frac{1}{15}$   

$\text{d)}\frac{{\sout{9}}^1}{14}\cdot \frac{10}{{\sout{11}}^1}\cdot \frac{{\sout{22}}^2}{{\sout{45}}^5}=\frac{1}{{\sout{14}}^7}\cdot \frac{{\sout{10}}^2}{1}\cdot \frac{{\sout{2}}^1}{{\sout{5}}^1}=\frac{2}{7}$     

$\text{e)}1\frac{1}{2}\cdot 1\frac{1}{3}\cdot 1\frac{1}{4}=\frac{{\sout{3}}^1}{{\sout{2}}^1}\cdot \frac{{\sout{4}}^2}{{\sout{3}}^1}\cdot \frac{5}{4}={\sout{2}}^1\cdot \frac{5}{{\sout{4}}^2}=\frac{5}{2}=2\frac{1}{2}$    

$\text{f)}{\sout{18}}^2\cdot \frac{5}{{\sout{9}}^1}\cdot 2\frac{2}{3}=10\cdot \frac{8}{3}=\frac{80}{3}=26\frac{2}{3}$