$$\frac{ 5 }{ 2 } \times ( \frac{ 2 }{ 15 } - \frac{ 23 }{ 6 } )- \frac{ 11 }{ 4 }$$
$-12$
$$\frac{5}{2}\left(\frac{4}{30}-\frac{115}{30}\right)-\frac{11}{4}$$
$$\frac{5}{2}\times \frac{4-115}{30}-\frac{11}{4}$$
$$\frac{5}{2}\times \frac{-111}{30}-\frac{11}{4}$$
$$\frac{5}{2}\left(-\frac{37}{10}\right)-\frac{11}{4}$$
$$\frac{5\left(-37\right)}{2\times 10}-\frac{11}{4}$$
$$\frac{-185}{20}-\frac{11}{4}$$
$$-\frac{37}{4}-\frac{11}{4}$$
$$\frac{-37-11}{4}$$
$$\frac{-48}{4}$$
$$-12$$
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