Simplify fraction with 8 minus 4 times 3 in the numerator and the cube root of 8 plus 5 in the denominator.
a) twelve sevenths
b) negative twelve sevenths
c) four sevenths
d) negative four sevenths
To simplify the fraction, we need to evaluate the numerator and denominator separately.
The numerator is 8 - 4 * 3 = 8 - 12 = -4.
The denominator is the cube root of 8 + 5 = ∛(8 + 5) = ∛13.
So the simplified fraction is -4/∛13.
The correct answer is (d) negative four sevenths.