$$\frac { \frac { 19 } { 10 } } { 3 + \frac { 3 } { 4 } + \frac { 1 } { 9 } + \frac { 1 } { 7 } }$$
$\frac{2394}{5045}\approx 0.474529237$
$$\frac{\frac{19}{10}}{\frac{12}{4}+\frac{3}{4}+\frac{1}{9}+\frac{1}{7}}$$
$$\frac{\frac{19}{10}}{\frac{12+3}{4}+\frac{1}{9}+\frac{1}{7}}$$
$$\frac{\frac{19}{10}}{\frac{15}{4}+\frac{1}{9}+\frac{1}{7}}$$
$$\frac{\frac{19}{10}}{\frac{135}{36}+\frac{4}{36}+\frac{1}{7}}$$
$$\frac{\frac{19}{10}}{\frac{135+4}{36}+\frac{1}{7}}$$
$$\frac{\frac{19}{10}}{\frac{139}{36}+\frac{1}{7}}$$
$$\frac{\frac{19}{10}}{\frac{973}{252}+\frac{36}{252}}$$
$$\frac{\frac{19}{10}}{\frac{973+36}{252}}$$
$$\frac{\frac{19}{10}}{\frac{1009}{252}}$$
$$\frac{19}{10}\times \frac{252}{1009}$$
$$\frac{19\times 252}{10\times 1009}$$
$$\frac{4788}{10090}$$
$$\frac{2394}{5045}$$
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$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 19}{5 \cdot 1009} = 0.4745292368681863$
