$$5\frac{2}{3}-2\frac{1}{6}$$
$\frac{7}{2}=3.5$
$$\frac{15+2}{3}-\frac{2\times 6+1}{6}$$
$$\frac{17}{3}-\frac{2\times 6+1}{6}$$
$$\frac{17}{3}-\frac{12+1}{6}$$
$$\frac{17}{3}-\frac{13}{6}$$
$$\frac{34}{6}-\frac{13}{6}$$
$$\frac{34-13}{6}$$
$$\frac{21}{6}$$
$$\frac{7}{2}$$
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$\frac{7}{2} = 3\frac{1}{2} = 3.5$
