$$(\frac{-5}{3})^{2}\times(\frac{-2}{3}-2)+\frac{1}{2}$$
$-\frac{373}{54}\approx -6.907407407$
$$\left(-\frac{5}{3}\right)^{2}\left(\frac{-2}{3}-2\right)+\frac{1}{2}$$
$$\frac{25}{9}\left(\frac{-2}{3}-2\right)+\frac{1}{2}$$
$$\frac{25}{9}\left(-\frac{2}{3}-2\right)+\frac{1}{2}$$
$$\frac{25}{9}\left(-\frac{8}{3}\right)+\frac{1}{2}$$
$$-\frac{200}{27}+\frac{1}{2}$$
$$-\frac{373}{54}$$
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$-\frac{373}{54} = -6\frac{49}{54} = -6.907407407407407$