$$52\div\frac{1}{2}\times8+\frac{3}{5}\times1\frac{2}{3}$$
$833$
$$52\times 2\times 8+\frac{3}{5}\times \frac{1\times 3+2}{3}$$
$$104\times 8+\frac{3}{5}\times \frac{1\times 3+2}{3}$$
$$832+\frac{3}{5}\times \frac{1\times 3+2}{3}$$
$$832+\frac{3}{5}\times \frac{3+2}{3}$$
$$832+\frac{3}{5}\times \frac{5}{3}$$
$$832+1$$
$$833$$
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$7^{2}\times 17$