$$( \frac{ 2 }{ 3 } \times \frac{ 6 }{ 4 } )+( \frac{ 4 }{ 7 } \times \frac{ -5 }{ 8 } )-( \frac{ 1 }{ 3 } \times \frac{ 2 }{ 4 } )$$
$\frac{10}{21}\approx 0.476190476$
$$\frac{2}{3}\times \frac{3}{2}+\frac{4}{7}\times \frac{-5}{8}-\frac{1}{3}\times \frac{2}{4}$$
$$1+\frac{4}{7}\times \frac{-5}{8}-\frac{1}{3}\times \frac{2}{4}$$
$$1+\frac{4}{7}\left(-\frac{5}{8}\right)-\frac{1}{3}\times \frac{2}{4}$$
$$1+\frac{4\left(-5\right)}{7\times 8}-\frac{1}{3}\times \frac{2}{4}$$
$$1+\frac{-20}{56}-\frac{1}{3}\times \frac{2}{4}$$
$$1-\frac{5}{14}-\frac{1}{3}\times \frac{2}{4}$$
$$\frac{14}{14}-\frac{5}{14}-\frac{1}{3}\times \frac{2}{4}$$
$$\frac{14-5}{14}-\frac{1}{3}\times \frac{2}{4}$$
$$\frac{9}{14}-\frac{1}{3}\times \frac{2}{4}$$
$$\frac{9}{14}-\frac{1}{3}\times \frac{1}{2}$$
$$\frac{9}{14}-\frac{1\times 1}{3\times 2}$$
$$\frac{9}{14}-\frac{1}{6}$$
$$\frac{27}{42}-\frac{7}{42}$$
$$\frac{27-7}{42}$$
$$\frac{20}{42}$$
$$\frac{10}{21}$$
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$\frac{2 \cdot 5}{3 \cdot 7} = 0.47619047619047616$