Correct option is (B) -1/6
\(-4^{-1}+8^{-1}\div(\frac{2}{3})^{-1}\) \(=-\frac14+\left(\frac18\times\left[(\frac{2}{3})^{-1}\right]^{-1}\right)\)
\(=\frac{-1}4+\left(\frac18\times(\frac{2}{3})^{-1\times-1}\right)\)
\(=\frac{-1}4+\frac18\times\frac{2}{3}\) \(=\frac{-1}4+\frac1{12}\)
\(=\frac{-3+1}{12}=\frac{-2}{12}\) \(=\frac{-1}{6}\)