$$\frac{-11}{9}-(\frac{-3}{2}(\frac{-5}{3}-\frac{7}{4})\times2)$$
$-\frac{413}{36}\approx -11.472222222$
$$-\frac{11}{9}-\frac{-3}{2}\left(\frac{-5}{3}-\frac{7}{4}\right)\times 2$$
$$-\frac{11}{9}-\left(-\frac{3}{2}\left(\frac{-5}{3}-\frac{7}{4}\right)\times 2\right)$$
$$-\frac{11}{9}-\left(-\frac{3}{2}\left(-\frac{5}{3}-\frac{7}{4}\right)\times 2\right)$$
$$-\frac{11}{9}-\left(-\frac{3}{2}\left(-\frac{20}{12}-\frac{21}{12}\right)\times 2\right)$$
$$-\frac{11}{9}-\left(-\frac{3}{2}\times \frac{-20-21}{12}\times 2\right)$$
$$-\frac{11}{9}-\left(-\frac{3}{2}\left(-\frac{41}{12}\right)\times 2\right)$$
$$-\frac{11}{9}-\frac{-3\left(-41\right)}{2\times 12}\times 2$$
$$-\frac{11}{9}-\frac{123}{24}\times 2$$
$$-\frac{11}{9}-\frac{41}{8}\times 2$$
$$-\frac{11}{9}-\frac{41\times 2}{8}$$
$$-\frac{11}{9}-\frac{82}{8}$$
$$-\frac{11}{9}-\frac{41}{4}$$
$$-\frac{44}{36}-\frac{369}{36}$$
$$\frac{-44-369}{36}$$
$$-\frac{413}{36}$$
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$-\frac{413}{36} = -11\frac{17}{36} = -11.472222222222221$