To solve this expression, we'll follow the order of operations: parentheses, multiplication and division from left to right, and finally addition and subtraction from left to right.
First, let's simplify the expression inside the parentheses.
(-3) ÷ (3/4) = -3 * (4/3) = -12/3 = -4
Now, let's multiply the remaining fractions.
(-4) × (2/7) × (-5/16) = (-4 * 2 * -5) / (7 * 16) = 40 / 112
Finally, let's simplify the division:
40 / 112 = 5/14
Therefore, the answer is 5/14.