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\(\frac{5}{6}\cdot\frac{5}{9}=\frac{25}{54}\)

\(6\cdot4\frac{1}{3}=6\cdot\frac{13}{3}=26\)

\(7\frac{1}{2}\cdot1\frac{5}{9}=\frac{15}{2}\cdot\frac{14}{9}=\frac{35}{3}=11\frac{2}{3}\)

\(4\frac{6}{11}\cdot4\frac{2}{5}=\frac{50}{11}\cdot\frac{22}{5}=20\)

\(6\frac{3}{4}\cdot1\frac{9}{39}=\frac{27}{4}\cdot\frac{48}{39}=\frac{108}{13}=8\frac{4}{13}\)

\(\frac{11}{19}\cdot38=11\cdot2=22\)

\(\frac{14}{55}\cdot1\frac{1}{21}=\frac{14}{55}\cdot\frac{22}{21}=\frac{4}{15}\)

\(\frac{15}{28}\cdot1\frac{1}{6}=\frac{15}{28}\cdot\frac{7}{6}=\frac{5}{8}\)

\(5\frac{3}{5}\cdot2\frac{13}{21}=\frac{28}{5}\cdot\frac{55}{21}=\frac{44}{3}=14\frac{2}{3}\)

\(24\cdot3\frac{1}{4}=24\cdot\frac{13}{4}=78\)

\(3\frac{1}{6}\cdot\frac{5}{19}=\frac{19}{6}\cdot\frac{5}{19}=\frac{5}{6}\)

\(4\frac{1}{5}\cdot\frac{15}{49}=\frac{21}{5}\cdot\frac{15}{49}=\frac{9}{7}=1\frac{2}{7}\)

\(2\frac{2}{11}\cdot\frac{5}{12}=\frac{24}{11}\cdot\frac{5}{12}=\frac{10}{11}\)

\(1\frac{1}{3}\cdot1\frac{1}{2}=\frac{4}{3}\cdot\frac{3}{2}=2\)

\(3\frac{1}{2}\cdot3\frac{1}{10}=\frac{7}{2}\cdot\frac{31}{10}=\frac{217}{20}=10\frac{17}{20}\)