\(\frac{3}{5}\times\frac{2}{7}:\frac{4}{9}=\frac{3\times2}{5\times7}\times\frac{9}{4}=\frac{6}{35}\times\frac{9}{4}=\frac{54}{140}=\frac{27}{70}\)
\(\frac{2}{11}:\frac{1}{3}\times\frac{3}{2}=\frac{2}{11}\times3\times\frac{3}{2}=\frac{2\times3\times3}{11\times2}=\frac{3\times3}{11}=\frac{9}{11}\)
\(\frac{5}{2}\times\frac{1}{3}+\frac{1}{4}=\frac{5}{6}+\frac{1}{4}=\frac{10}{12}+\frac{3}{12}=\frac{13}{12}\)
\(\frac{1}{2}+\frac{1}{4}:\frac{1}{6}=\frac{1}{2}+\frac{1}{4}\times6=\frac{1}{2}+\frac{6}{4}=\frac{1}{2}+\frac{3}{2}=\frac{4}{2}=2\)