$$(\frac{5}{6})^{2}\div(\frac{5}{8}-\frac{4}{9})$$
$\frac{50}{13}\approx 3.846153846$
$$\frac{\frac{25}{36}}{\frac{5}{8}-\frac{4}{9}}$$
$$\frac{\frac{25}{36}}{\frac{45}{72}-\frac{32}{72}}$$
$$\frac{\frac{25}{36}}{\frac{45-32}{72}}$$
$$\frac{\frac{25}{36}}{\frac{13}{72}}$$
$$\frac{25}{36}\times \frac{72}{13}$$
$$\frac{25\times 72}{36\times 13}$$
$$\frac{1800}{468}$$
$$\frac{50}{13}$$
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$\frac{2 \cdot 5 ^ {2}}{13} = 3\frac{11}{13} = 3.8461538461538463$