$a)$

$\frac{4}{11}:\frac{3}{7}=\frac{4}{11}\cdot \frac{7}{3}=\frac{28}{33}$

$b)$

$\frac{12}{13}:\frac{1}{2}=\frac{12}{13}\cdot \frac{2}{1}=\frac{24}{13}=1\frac{11}{13}$ $\frac{12}{13}:\frac{1}{2}=\frac{12}{13}\cdot \frac{2}{1}=\frac{24}{13}=1\frac{11}{13}$

$c)$

$\frac{5}{8}:\frac{9}{17}=\frac{5}{8}\cdot \frac{17}{9}=\frac{85}{72}=1\frac{13}{72}$

$d)$

$\frac{1}{3}:\frac{2}{5}=\frac{1}{3}\cdot \frac{5}{2}=\frac{5}{6}$

$e)$

$\frac{5}{6}:\frac{1}{3}=\frac{5}{{\sout{6}}^2}\cdot \frac{{\sout{3}}^1}{1}=\frac{5}{2}=2\frac{1}{2}$

$f)$

$\frac{4}{9}:\frac{2}{15}=\frac{{\sout{4}}^2}{{\sout{9}}^3}\cdot \frac{{\sout{15}}^5}{{\sout{2}}^1}=\frac{10}{3}=3\frac{1}{3}$

$g)$

$\frac{7}{8}:\frac{3}{4}=\frac{7}{{\sout{8}}^2}\cdot \frac{{\sout{4}}^1}{3}=\frac{7}{6}=1\frac{1}{6}$

$h)$

$\frac{8}{25}:\frac{4}{5}=\frac{{\sout{8}}^2}{{\sout{25}}^5}\cdot \frac{{\sout{5}}^1}{{\sout{4}}^1}=\frac{2}{5}$