Step 1 :First, simplify the denominator: \(\frac{4}{9}+\frac{16}{9}=\frac{20}{9}\)
Step 2 :Next, simplify the complex fraction: \(\frac{8}{\frac{20}{9}}=8*\frac{9}{20}\)
Step 3 :Then, multiply the numerators and the denominators: \(8*\frac{9}{20}=\frac{72}{20}\)
Step 4 :Finally, simplify the result: \(\frac{72}{20}=\boxed{\frac{18}{5}}\)