$$2\frac{2}{3}-4\frac{1}{6}$$
$-\frac{3}{2}=-1.5$
$$\frac{6+2}{3}-\frac{4\times 6+1}{6}$$
$$\frac{8}{3}-\frac{4\times 6+1}{6}$$
$$\frac{8}{3}-\frac{24+1}{6}$$
$$\frac{8}{3}-\frac{25}{6}$$
$$\frac{16}{6}-\frac{25}{6}$$
$$\frac{16-25}{6}$$
$$\frac{-9}{6}$$
$$-\frac{3}{2}$$
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$-\frac{3}{2} = -1\frac{1}{2} = -1.5$