$$\frac{2}{5}\cdot(\frac{15}{8}+\frac{3}{4}\div\frac{1}{2})$$
$\frac{27}{20}=1.35$
$$\frac{2}{5}\left(\frac{15}{8}+\frac{3}{4}\times 2\right)$$
$$\frac{2}{5}\left(\frac{15}{8}+\frac{3\times 2}{4}\right)$$
$$\frac{2}{5}\left(\frac{15}{8}+\frac{6}{4}\right)$$
$$\frac{2}{5}\left(\frac{15}{8}+\frac{3}{2}\right)$$
$$\frac{2}{5}\left(\frac{15}{8}+\frac{12}{8}\right)$$
$$\frac{2}{5}\times \frac{15+12}{8}$$
$$\frac{2}{5}\times \frac{27}{8}$$
$$\frac{2\times 27}{5\times 8}$$
$$\frac{54}{40}$$
$$\frac{27}{20}$$
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$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$
