$$4 \frac{ 3 }{ 8 } -2 \frac{ 7 }{ 12 } +3 \frac{ 1 }{ 16 }$$
$\frac{233}{48}\approx 4.854166667$
$$\frac{32+3}{8}-\frac{2\times 12+7}{12}+\frac{3\times 16+1}{16}$$
$$\frac{35}{8}-\frac{2\times 12+7}{12}+\frac{3\times 16+1}{16}$$
$$\frac{35}{8}-\frac{24+7}{12}+\frac{3\times 16+1}{16}$$
$$\frac{35}{8}-\frac{31}{12}+\frac{3\times 16+1}{16}$$
$$\frac{105}{24}-\frac{62}{24}+\frac{3\times 16+1}{16}$$
$$\frac{105-62}{24}+\frac{3\times 16+1}{16}$$
$$\frac{43}{24}+\frac{3\times 16+1}{16}$$
$$\frac{43}{24}+\frac{48+1}{16}$$
$$\frac{43}{24}+\frac{49}{16}$$
$$\frac{86}{48}+\frac{147}{48}$$
$$\frac{86+147}{48}$$
$$\frac{233}{48}$$
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$\frac{233}{2 ^ {4} \cdot 3} = 4\frac{41}{48} = 4.854166666666667$
