(-8) : 4/5

Let's solve the expression: $$(-8) : \frac{4}{5}$$ To divide by a fraction, we multiply by its reciprocal: $$-8 : \frac{4}{5} = -8 \times \frac{5}{4}$$ Simplify before multiplying: $$-8 \times \frac{5}{4} = -\frac{8}{1} \times \frac{5}{4} = -\frac{8 \div 4}{1} \times \frac{5}{4 \div 4} = -\frac{2}{1} \times \frac{5}{1}$$ Multiply: $$-2 \times 5 = -10$$ Answer: -10