$$(\frac{2}{5}\cdot\frac{25}{8}+\frac{3}{4})\div\frac{3}{4}$$
$\frac{8}{3}\approx 2.666666667$
$$\frac{\frac{2\times 25}{5\times 8}+\frac{3}{4}}{\frac{3}{4}}$$
$$\frac{\frac{50}{40}+\frac{3}{4}}{\frac{3}{4}}$$
$$\frac{\frac{5}{4}+\frac{3}{4}}{\frac{3}{4}}$$
$$\frac{\frac{5+3}{4}}{\frac{3}{4}}$$
$$\frac{\frac{8}{4}}{\frac{3}{4}}$$
$$\frac{2}{\frac{3}{4}}$$
$$2\times \frac{4}{3}$$
$$\frac{2\times 4}{3}$$
$$\frac{8}{3}$$
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$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$
