We are asked to evaluate the expression $-(-3) \times 4 \div [(-15) \times (-\frac{4}{5})]$.

1. Problem Description

We are asked to evaluate the expression $-(-3) \times 4 \div [(-15) \times (-\frac{4}{5})]$.

2. Solution Steps

We follow the order of operations (PEMDAS/BODMAS). First, we evaluate the expression inside the brackets.

$$(-15) \times (-\frac{4}{5}) = \frac{-15}{1} \times \frac{-4}{5} = \frac{(-15) \times (-4)}{1 \times 5} = \frac{60}{5} = 12$$

Now the expression becomes:

$-(-3) \times 4 \div [12]$

Since dividing by $[12]$ is the same as dividing by $12$, the expression becomes:

$-(-3) \times 4 \div 12$

Next, we have $-(-3)$. This simplifies to $3$, so the expression is now:

$3 \times 4 \div 12$

Multiplication and division are done from left to right. First, we multiply:

$3 \times 4 = 12$

So the expression becomes:

$12 \div 12$

Finally, we divide:

$12 \div 12 = 1$

3. Final Answer

1