$$(\frac{-8}{5}:\frac{4}{3}\times1:-\frac{1}{2}--\frac{1}{7})$$
$\frac{89}{35}\approx 2.542857143$
$$\frac{\frac{-8\times 3}{5\times 4}\times 1}{-\frac{1}{2}}-\left(-\frac{1}{7}\right)$$
$$\frac{\frac{-2\times 3}{5}\times 1}{-\frac{1}{2}}-\left(-\frac{1}{7}\right)$$
$$\frac{\frac{-6}{5}\times 1}{-\frac{1}{2}}-\left(-\frac{1}{7}\right)$$
$$\frac{-\frac{6}{5}}{-\frac{1}{2}}-\left(-\frac{1}{7}\right)$$
$$-\frac{6}{5}\left(-2\right)-\left(-\frac{1}{7}\right)$$
$$\frac{-6\left(-2\right)}{5}-\left(-\frac{1}{7}\right)$$
$$\frac{12}{5}-\left(-\frac{1}{7}\right)$$
$$\frac{12}{5}+\frac{1}{7}$$
$$\frac{84}{35}+\frac{5}{35}$$
$$\frac{84+5}{35}$$
$$\frac{89}{35}$$
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$\frac{89}{5 \cdot 7} = 2\frac{19}{35} = 2.5428571428571427$