Step 1 :Given the expression \(\frac{9}{6} \times \frac{9}{6} \times \frac{20}{4} \div 81\)
Step 2 :Simplify the fractions to get \(\frac{3}{2} \times \frac{3}{2} \times 5 \div 81\)
Step 3 :Perform the multiplication operations to get \(\frac{45}{4} \div 81\)
Step 4 :Perform the division operation to get \(\frac{45}{324}\)
Step 5 :Simplify the fraction to get \(\frac{5}{36}\)
Step 6 :Final Answer: \(\boxed{\frac{5}{36}}\)