$$\frac { 1 } { 2 } \times \frac { 1 } { 4 } + \frac { 2 } { 7 } \times \frac { - 7 } { 8 } \times \frac { 15 } { 7 } - \frac { 1 } { 4 } \times \frac { 1 } { 3 }$$
$-\frac{83}{168}\approx -0.494047619$
$$\frac{1\times 1}{2\times 4}+\frac{2}{7}\times \frac{-7}{8}\times \frac{15}{7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}+\frac{2}{7}\times \frac{-7}{8}\times \frac{15}{7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}+\frac{2}{7}\left(-\frac{7}{8}\right)\times \frac{15}{7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}+\frac{2\left(-7\right)}{7\times 8}\times \frac{15}{7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}+\frac{-14}{56}\times \frac{15}{7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}-\frac{1}{4}\times \frac{15}{7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}+\frac{-15}{4\times 7}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}+\frac{-15}{28}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{1}{8}-\frac{15}{28}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{7}{56}-\frac{30}{56}-\frac{1}{4}\times \frac{1}{3}$$
$$\frac{7-30}{56}-\frac{1}{4}\times \frac{1}{3}$$
$$-\frac{23}{56}-\frac{1}{4}\times \frac{1}{3}$$
$$-\frac{23}{56}-\frac{1\times 1}{4\times 3}$$
$$-\frac{23}{56}-\frac{1}{12}$$
$$-\frac{69}{168}-\frac{14}{168}$$
$$\frac{-69-14}{168}$$
$$-\frac{83}{168}$$
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$-\frac{83}{168} = -0.49404761904761907$