$a)2\frac{3}{11}:3\frac{3}{4}=\frac{25}{11}:\frac{15}{4}=\frac{{\sout{25}}^5}{11}\cdot \frac{4}{{\sout{15}}^3}=\frac{5}{11}\cdot \frac{4}{3}=\frac{20}{33}$  

$b)1\frac{1}{6}:5\frac{2}{8}=\frac{7}{6}:\frac{42}{8}=\frac{{\sout{7}}^1}{6}\cdot \frac{8}{{\sout{42}}^6}=\frac{1}{{\sout{6}}^3}\cdot \frac{{\sout{8}}^4}{6}=\frac{1}{3}\cdot \frac{4}{6}=\frac{1}{3}\cdot \frac{2}{3}=\frac{2}{9}$ $b)1\frac{1}{6}:5\frac{2}{8}=\frac{7}{6}:\frac{42}{8}=\frac{{\sout{7}}^1}{6}\cdot \frac{8}{{\sout{42}}^6}=\frac{1}{{\sout{6}}^3}\cdot \frac{{\sout{8}}^4}{6}=\frac{1}{3}\cdot \frac{4}{6}=\frac{1}{3}\cdot \frac{2}{3}=\frac{2}{9}$     

$c)4\frac{8}{15}:6\frac{4}{5}=\frac{68}{15}:\frac{34}{5}=\frac{{\sout{68}}^2}{{\sout{15}}^3}\cdot \frac{{\sout{5}}^1}{{\sout{34}}^1}=\frac{2}{3}\cdot 1=\frac{2}{3}$  

$d)2\frac{4}{13}:2\frac{1}{7}=\frac{30}{13}:\frac{15}{7}=\frac{{\sout{30}}^2}{13}\cdot \frac{7}{{\sout{15}}^1}=\frac{2}{13}\cdot 7=\frac{14}{13}=1\frac{1}{13}$  

$e)5\frac{3}{13}:8\frac{1}{2}=\frac{68}{13}:\frac{17}{2}=\frac{{\sout{68}}^4}{13}\cdot \frac{2}{{\sout{17}}^1}=\frac{8}{13}$  

$f)7\frac{8}{15}:2\frac{3}{9}=7\frac{8}{15}:2\frac{1}{3}=\frac{113}{15}:\frac{7}{3}=\frac{113}{{\sout{15}}^5}\cdot \frac{{\sout{3}}^1}{7}=\frac{113}{5}\cdot \frac{1}{7}=\frac{113}{35}=3\frac{8}{35}$