$$3\frac{1}{2}\times9\frac{4}{5}=$$
$\frac{343}{10}=34.3$
$$\frac{6+1}{2}\times \frac{9\times 5+4}{5}$$
$$\frac{7}{2}\times \frac{9\times 5+4}{5}$$
$$\frac{7}{2}\times \frac{45+4}{5}$$
$$\frac{7}{2}\times \frac{49}{5}$$
$$\frac{7\times 49}{2\times 5}$$
$$\frac{343}{10}$$
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$\frac{7 ^ {3}}{2 \cdot 5} = 34\frac{3}{10} = 34.3$