When we multiply fraction we multiply numerators by numerators and denominators by denominators.
Lets solve it.
\(\frac{2}{3}* \frac{3}{5}* \frac{5}{10}* \frac{6}{8}= \frac{2*3*5*6}{3*5*10*8}= \frac{180}{1200}= \frac{180:60}{1200:60} \frac{3}{20}=0.15\) - its the result