Verified Answer :

\(\frac{2}{3}\cdot\frac{3}{5}\cdot\frac{5}{10}\cdot\frac{6}{8}=\frac{2}{ ot3_1}\cdot\frac{ ot3^1}{ ot5_1}\cdot\frac{ ot5^1}{10}\cdot\frac{6}{8}=\frac{ ot2^1}{10}\cdot\frac{6}{ ot8_4}=\frac{ ot6^3}{10\cdot ot4_2}=\frac{3}{20}\\\\\\Answer:C\)

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