$$1\frac{3}{4}+2\frac{5}{6}=$$
$\frac{55}{12}\approx 4.583333333$
$$\frac{4+3}{4}+\frac{2\times 6+5}{6}$$
$$\frac{7}{4}+\frac{2\times 6+5}{6}$$
$$\frac{7}{4}+\frac{12+5}{6}$$
$$\frac{7}{4}+\frac{17}{6}$$
$$\frac{21}{12}+\frac{34}{12}$$
$$\frac{21+34}{12}$$
$$\frac{55}{12}$$
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$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$
