\(\frac{2}{3}\cdot\frac{1}{6}\cdot\frac{9}{11}\)
\(=\frac{2\cdot1\cdot9}{3\cdot6\cdot11}\)
\(=\frac{2\cdot2\cdot3}{3\cdot2\cdot3\cdot11}\)
\(=\frac{2}{3\cdot11}\)
\(=\frac{2}{33}\)
\(\frac{2}{3}\cdot\frac{1}{6}\cdot\frac{9}{11}\)
\(=\frac{2\cdot1\cdot9}{3\cdot6\cdot11}\)
\(=\frac{1}{11}\)