$$1/2+4(7/3)-10/5 \times 2$$
$\frac{35}{6}\approx 5.833333333$
$$\frac{1}{2}+\frac{4\times 7}{3}-\frac{10}{5}\times 2$$
$$\frac{1}{2}+\frac{28}{3}-\frac{10}{5}\times 2$$
$$\frac{3}{6}+\frac{56}{6}-\frac{10}{5}\times 2$$
$$\frac{3+56}{6}-\frac{10}{5}\times 2$$
$$\frac{59}{6}-\frac{10}{5}\times 2$$
$$\frac{59}{6}-2\times 2$$
$$\frac{59}{6}-4$$
$$\frac{59}{6}-\frac{24}{6}$$
$$\frac{59-24}{6}$$
$$\frac{35}{6}$$
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$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$
