2\frac{1}{3}*6-3\frac{1}{3}:2\frac{1}{6}=\frac{7}{3}*6-\frac{10}{3}:\frac{13}{6}=\frac{42}{3}-\frac{10}{3}*\frac{6}{13}=14-\frac{10}{1}*\frac{2}{13}=14-\frac{20}{13}=14-1\frac{7}{13}=12\frac{6}{13}
4-2\frac{1}{4}:2=4-\frac{9}{4}*\frac{1}{2}=4-\frac{9}{8}=4-1\frac{1}{8}=2\frac{7}{8}
5\frac{1}{2}+3\frac{1}{4}:\frac{1}{4}+2\frac{1}{2}*\frac{1}{5}=5\frac{1}{2}+\frac{13}{4}*\frac{4}{1}+\frac{5}{2}*\frac{1}{5}=5\frac{1}{2}+13+\frac{1}{2}=19