$$\frac{ 3 }{ 7 } - \{ \frac{ 2 }{ 5 } -[ \frac{ 1 }{ 2 } + \frac{ 3 }{ 10 } \times ( \frac{ 6 }{ 5 } - \frac{ 3 }{ 2 } )] \} =$$
$\frac{307}{700}\approx 0.438571429$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{1}{2}+\frac{3}{10}\left(\frac{12}{10}-\frac{15}{10}\right)\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{1}{2}+\frac{3}{10}\times \frac{12-15}{10}\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{1}{2}+\frac{3}{10}\left(-\frac{3}{10}\right)\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{1}{2}+\frac{3\left(-3\right)}{10\times 10}\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{1}{2}+\frac{-9}{100}\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{1}{2}-\frac{9}{100}\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\left(\frac{50}{100}-\frac{9}{100}\right)\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\frac{50-9}{100}\right)$$
$$\frac{3}{7}-\left(\frac{2}{5}-\frac{41}{100}\right)$$
$$\frac{3}{7}-\left(\frac{40}{100}-\frac{41}{100}\right)$$
$$\frac{3}{7}-\frac{40-41}{100}$$
$$\frac{3}{7}-\left(-\frac{1}{100}\right)$$
$$\frac{3}{7}+\frac{1}{100}$$
$$\frac{300}{700}+\frac{7}{700}$$
$$\frac{300+7}{700}$$
$$\frac{307}{700}$$
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$\frac{307}{2 ^ {2} \cdot 5 ^ {2} \cdot 7} = 0.43857142857142856$
