$$\frac{15}{4}+\frac{640}{1071}$$
$\frac{18625}{4284}\approx 4.347572362$
$$\frac{16065}{4284}+\frac{2560}{4284}$$
$$\frac{16065+2560}{4284}$$
$$\frac{18625}{4284}$$
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$\frac{5 ^ {3} \cdot 149}{2 ^ {2} \cdot 3 ^ {2} \cdot 7 \cdot 17} = 4\frac{1489}{4284} = 4.347572362278244$