$$\frac{ 5 }{ 2 } \times ( \frac{ 2 }{ 15 } - \frac{ 23 }{ 6 } )$$
$-\frac{37}{4}=-9.25$
$$\frac{5}{2}\left(\frac{4}{30}-\frac{115}{30}\right)$$
$$\frac{5}{2}\times \frac{4-115}{30}$$
$$\frac{5}{2}\times \frac{-111}{30}$$
$$\frac{5}{2}\left(-\frac{37}{10}\right)$$
$$\frac{5\left(-37\right)}{2\times 10}$$
$$\frac{-185}{20}$$
$$-\frac{37}{4}$$
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$-\frac{37}{4} = -9\frac{1}{4} = -9.25$