$$(11/24) \times [4/5 \times -6/22] \div 1/6$$
$-\frac{1}{60}\approx -0.016666667$
$$\frac{\frac{11}{24}\times \frac{\frac{4}{5}\left(-6\right)}{22}}{6}$$
$$\frac{\frac{11}{24}\times \frac{\frac{4\left(-6\right)}{5}}{22}}{6}$$
$$\frac{\frac{11}{24}\times \frac{\frac{-24}{5}}{22}}{6}$$
$$\frac{\frac{11}{24}\times \frac{-\frac{24}{5}}{22}}{6}$$
$$\frac{\frac{11}{24}\times \frac{-24}{5\times 22}}{6}$$
$$\frac{\frac{11}{24}\times \frac{-24}{110}}{6}$$
$$\frac{\frac{11}{24}\left(-\frac{12}{55}\right)}{6}$$
$$\frac{\frac{11\left(-12\right)}{24\times 55}}{6}$$
$$\frac{\frac{-132}{1320}}{6}$$
$$\frac{-\frac{1}{10}}{6}$$
$$\frac{-1}{10\times 6}$$
$$\frac{-1}{60}$$
$$-\frac{1}{60}$$
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$-\frac{1}{60} = -0.016666666666666666$