[tex]\displaystyle\\
a)~~\frac{2}{5} : \frac{16}{15}=\frac{2}{5} \times \frac{15}{16}=\frac{3}{8}\\\\
b)~~\frac{9}{22} : \frac{3}{44}=\frac{9}{22} \times \frac{44}{3}=3\times2=6\\\\
c)~~\frac{27}{20} : \frac{81}{40}=\frac{27}{20} \times \frac{40}{81}=\frac{2}{3}\\\\
d)~~\frac{25}{16} : \frac{5}{8} : 2\frac{1}{2}=\frac{25}{16} \times \frac{8}{5} : \frac{5}{2}=\frac{5}{2}:\frac{5}{2}=1\\\\
e)~~\frac{4}{27} : 1\frac{1}{3} =\frac{4}{27} : \frac{4}{3}=\frac{4}{27}\times \frac{3}{4}=\frac{1}{9}[/tex]