$$\frac{-5}{6}+\frac{-4}{3}$$
$-\frac{13}{6}\approx -2.166666667$
$$-\frac{5}{6}+\frac{-4}{3}$$
$$-\frac{5}{6}-\frac{4}{3}$$
$$-\frac{5}{6}-\frac{8}{6}$$
$$\frac{-5-8}{6}$$
$$-\frac{13}{6}$$
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$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$