Let's simplify the given expression step by step:

3.42 / 0.57 (9.5 - 1.1) / ((4.8 - 1.6) (3.1 + 0.05))

First, let's simplify the innermost parentheses:

3.42 / 0.57 8.4 / (3.2 3.15)

Next, let's simplify the division and multiplication:

6.00 * 2.63

Finally, let's multiply the two values:

15.78

Therefore, the final result is 15.78.