$$\frac{3}{4}-\frac{1}{6}\div(\frac{4}{5})^{2}$$
$\frac{47}{96}\approx 0.489583333$
$$\frac{3}{4}-\frac{\frac{1}{6}}{\frac{16}{25}}$$
$$\frac{3}{4}-\frac{1}{6}\times \frac{25}{16}$$
$$\frac{3}{4}-\frac{1\times 25}{6\times 16}$$
$$\frac{3}{4}-\frac{25}{96}$$
$$\frac{72}{96}-\frac{25}{96}$$
$$\frac{72-25}{96}$$
$$\frac{47}{96}$$
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$\frac{47}{2 ^ {5} \cdot 3} = 0.4895833333333333$
