$$3\frac{1}{6}+9\frac{1}{5}-7\frac{3}{10}$$
$\frac{76}{15}\approx 5.066666667$
$$\frac{18+1}{6}+\frac{9\times 5+1}{5}-\frac{7\times 10+3}{10}$$
$$\frac{19}{6}+\frac{9\times 5+1}{5}-\frac{7\times 10+3}{10}$$
$$\frac{19}{6}+\frac{45+1}{5}-\frac{7\times 10+3}{10}$$
$$\frac{19}{6}+\frac{46}{5}-\frac{7\times 10+3}{10}$$
$$\frac{95}{30}+\frac{276}{30}-\frac{7\times 10+3}{10}$$
$$\frac{95+276}{30}-\frac{7\times 10+3}{10}$$
$$\frac{371}{30}-\frac{7\times 10+3}{10}$$
$$\frac{371}{30}-\frac{70+3}{10}$$
$$\frac{371}{30}-\frac{73}{10}$$
$$\frac{371}{30}-\frac{219}{30}$$
$$\frac{371-219}{30}$$
$$\frac{152}{30}$$
$$\frac{76}{15}$$
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$\frac{2 ^ {2} \cdot 19}{3 \cdot 5} = 5\frac{1}{15} = 5.066666666666666$
