To simplify the expression \( 2 - \frac{2}{4} \cdot 385727 - \frac{10}{3} \cdot 5 \), we will follow the order of operations (PEMDAS/BODMAS):
Calculate \( \frac{2}{4} \): \[ \frac{2}{4} = 0.5 \]
Calculate \( 0.5 \cdot 385727 \): \[ 0.5 \cdot 385727 = 192863.5 \]
Calculate \( \frac{10}{3} \): \[ \frac{10}{3} \approx 3.3333 \]
Now calculate \( 3.3333 \cdot 5 \): \[ 3.3333 \cdot 5 \approx 16.6665 \]
Now substitute these values back into the original expression: \[ 2 - 192863.5 - 16.6665 \]
Calculate \( 2 - 192863.5 \): \[ 2 - 192863.5 = -192861.5 \]
Finally calculate \( -192861.5 - 16.6665 \): \[ -192861.5 - 16.6665 = -192878.1665 \]
Thus, the final answer is: \[ -192878.1665 \]
