[tex]\frac{2}{3}\cdot\frac{3}{5}\cdot\frac{5}{10}\cdot\frac{6}{8}=\frac{2}{\not3_1}\cdot\frac{\not3^1}{\not5_1}\cdot\frac{\not5^1}{10}\cdot\frac{6}{8}=\frac{\not2^1}{10}\cdot\frac{6}{\not8_4}=\frac{\not6^3}{10\cdot\not4_2}=\frac{3}{20}\\\\\\Answer:C[/tex]