Question 6
Perform the indicated operations and simplify.
\[
\frac{9}{6} \times \frac{9}{6} \times \frac{20}{4} \div 81
\]
$\frac{3}{35}$
$\frac{5}{36}$
$\frac{1}{34}$
$\frac{1}{36}$
$\frac{5}{34}$

Answer

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Answer

Final Answer: $\boxed{\frac{5}{36}}$

Steps

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: $\boxed{\frac{5}{36}}$