$\text{a)}1\frac{1}{7}:1\frac{2}{7}=\frac{8}{7}:\frac{9}{7}=\frac{8}{{\sout{7}}^1}\cdot \frac{{\sout{7}}^1}{9}=\frac{8}{9}$  

$\text{b)}1\frac{5}{6}:2\frac{1}{5}=\frac{11}{6}:\frac{11}{5}=\frac{{\sout{11}}^1}{6}\cdot \frac{5}{{\sout{11}}^1}=\frac{5}{6}$  

$\text{c)}1\frac{1}{9}:2\frac{1}{2}=\frac{10}{9}:\frac{5}{2}=\frac{{\sout{10}}^2}{9}\cdot \frac{2}{{\sout{5}}^1}=\frac{4}{9}$  

$\text{d)}1\frac{6}{7}:1\frac{5}{8}=\frac{13}{7}:\frac{13}{8}=\frac{{\sout{13}}^1}{7}\cdot \frac{8}{{\sout{13}}^1}=\frac{8}{7}=1\frac{1}{7}$   

$\text{e)}3\frac{3}{7}:3\frac{1}{5}=\frac{24}{7}:\frac{16}{5}=\frac{{\sout{24}}^3}{7}\cdot \frac{5}{{\sout{16}}^2}=\frac{15}{14}=1\frac{1}{14}$  

$\text{f)}4\frac{5}{7}:3\frac{2}{3}=\frac{33}{7}:\frac{11}{3}=\frac{{\sout{33}}^3}{7}\cdot \frac{3}{{\sout{11}}^1}=\frac{9}{7}=1\frac{2}{7}$  

$\text{g)}3\frac{3}{8}:2\frac{1}{4}=\frac{27}{8}:\frac{9}{4}=\frac{{\sout{27}}^3}{{\sout{8}}^2}\cdot \frac{{\sout{4}}^1}{{\sout{9}}^1}=\frac{3}{2}=1\frac{1}{2}$  

$\text{h)}2\frac{1}{10}:1\frac{13}{15}=\frac{21}{10}:\frac{28}{15}=\frac{{\sout{21}}^3}{{\sout{10}}^2}\cdot \frac{{\sout{15}}^3}{{\sout{28}}^4}=\frac{9}{8}=1\frac{1}{8}$