$$2\frac{1}{2}\div\frac{3}{5}$$
$\frac{25}{6}\approx 4.166666667$
$$\frac{\left(2\times 2+1\right)\times 5}{2\times 3}$$
$$\frac{\left(4+1\right)\times 5}{2\times 3}$$
$$\frac{5\times 5}{2\times 3}$$
$$\frac{25}{2\times 3}$$
$$\frac{25}{6}$$
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$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$