$$\frac{5}{2}+16\frac{9}{3}+1\frac{7}{2}\times\frac{5}{4}+\frac{19}{7}$$
$\frac{1671}{56}\approx 29.839285714$
$$\frac{5}{2}+\frac{48+9}{3}+\frac{1\times 2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{5}{2}+\frac{57}{3}+\frac{1\times 2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{5}{2}+19+\frac{1\times 2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{5}{2}+\frac{38}{2}+\frac{1\times 2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{5+38}{2}+\frac{1\times 2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{43}{2}+\frac{1\times 2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{43}{2}+\frac{2+7}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{43}{2}+\frac{9}{2}\times \frac{5}{4}+\frac{19}{7}$$
$$\frac{43}{2}+\frac{9\times 5}{2\times 4}+\frac{19}{7}$$
$$\frac{43}{2}+\frac{45}{8}+\frac{19}{7}$$
$$\frac{172}{8}+\frac{45}{8}+\frac{19}{7}$$
$$\frac{172+45}{8}+\frac{19}{7}$$
$$\frac{217}{8}+\frac{19}{7}$$
$$\frac{1519}{56}+\frac{152}{56}$$
$$\frac{1519+152}{56}$$
$$\frac{1671}{56}$$
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$\frac{3 \cdot 557}{2 ^ {3} \cdot 7} = 29\frac{47}{56} = 29.839285714285715$
