27/34 (5 - 24/5 11/9)

First, solve the multiplication inside the parentheses:

2*4/5 = 8/5

1*1/9 = 1/9

Now, substitute these values back into the equation:

27/34 (5 - 8/5 1/9)

Next, simplify the multiplication inside the parentheses:

27/34 * (5 - 8/45)

Now, subtract 8/45 from 5:

27/34 * (225/45 - 8/45)

27/34 * (217/45)

Now, multiply the fractions:

(27 217) / (34 45)

5859 / 1530

Therefore, the answer is 3.834.