$$\frac{3\frac{1}{2}+6\frac{4}{5}+3\frac{3}{4}}{\boxed{1}}$$
$\frac{281}{20}=14.05$
$$\frac{\frac{6+1}{2}+\frac{6\times 5+4}{5}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{7}{2}+\frac{6\times 5+4}{5}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{7}{2}+\frac{30+4}{5}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{7}{2}+\frac{34}{5}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{35}{10}+\frac{68}{10}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{35+68}{10}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{103}{10}+\frac{3\times 4+3}{4}}{1}$$
$$\frac{\frac{103}{10}+\frac{12+3}{4}}{1}$$
$$\frac{\frac{103}{10}+\frac{15}{4}}{1}$$
$$\frac{\frac{206}{20}+\frac{75}{20}}{1}$$
$$\frac{\frac{206+75}{20}}{1}$$
$$\frac{\frac{281}{20}}{1}$$
$$\frac{281}{20}$$
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$\frac{281}{2 ^ {2} \cdot 5} = 14\frac{1}{20} = 14.05$