Final answer:
negative four sevenths. To simplify the given fraction, evaluate the expression in the numerator and denominator separately and then simplify.
Step-by-step explanation:
To simplify the given fraction, let's start by evaluating the expression in the numerator and denominator separately. In the numerator, we have 8 - 4 times 3. Following the order of operations, we multiply 4 by 3 to get 12, and then subtract that from 8 to get -4. In the denominator, we have the cube root of 8 plus 5. The cube root of 8 is 2, so the denominator becomes 2 + 5 = 7.
So, the simplified fraction is -4/7, which means the answer is negative four sevenths.