$$5\frac{3}{10}-2\frac{2}{15}$$
$\frac{19}{6}\approx 3.166666667$
$$\frac{50+3}{10}-\frac{2\times 15+2}{15}$$
$$\frac{53}{10}-\frac{2\times 15+2}{15}$$
$$\frac{53}{10}-\frac{30+2}{15}$$
$$\frac{53}{10}-\frac{32}{15}$$
$$\frac{159}{30}-\frac{64}{30}$$
$$\frac{159-64}{30}$$
$$\frac{95}{30}$$
$$\frac{19}{6}$$
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$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$