$$(\frac{5}{6}+\frac{2}{5})\div\frac{3}{4}=$$
$\frac{74}{45}\approx 1.644444444$
$$\frac{\frac{25}{30}+\frac{12}{30}}{\frac{3}{4}}$$
$$\frac{\frac{25+12}{30}}{\frac{3}{4}}$$
$$\frac{\frac{37}{30}}{\frac{3}{4}}$$
$$\frac{37}{30}\times \frac{4}{3}$$
$$\frac{37\times 4}{30\times 3}$$
$$\frac{148}{90}$$
$$\frac{74}{45}$$
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$\frac{2 \cdot 37}{3 ^ {2} \cdot 5} = 1\frac{29}{45} = 1.6444444444444444$
