$$\frac{3}{2}\times(\frac{36}{4}+\frac{5}{9})\times(\frac{6}{3}+\frac{2}{5})$$
$\frac{172}{5}=34.4$
$$\frac{3}{2}\left(9+\frac{5}{9}\right)\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{3}{2}\left(\frac{81}{9}+\frac{5}{9}\right)\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{3}{2}\times \frac{81+5}{9}\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{3}{2}\times \frac{86}{9}\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{3\times 86}{2\times 9}\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{258}{18}\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{43}{3}\left(\frac{6}{3}+\frac{2}{5}\right)$$
$$\frac{43}{3}\left(2+\frac{2}{5}\right)$$
$$\frac{43}{3}\left(\frac{10}{5}+\frac{2}{5}\right)$$
$$\frac{43}{3}\times \frac{10+2}{5}$$
$$\frac{43}{3}\times \frac{12}{5}$$
$$\frac{43\times 12}{3\times 5}$$
$$\frac{516}{15}$$
$$\frac{172}{5}$$
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$\frac{2 ^ {2} \cdot 43}{5} = 34\frac{2}{5} = 34.4$
