To solve the expression \((12 + 15)/2 \times 5\), follow these steps:
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Calculate the sum inside the parentheses: \[ 12 + 15 = 27 \]
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Divide the result by 2: \[ 27 / 2 = 13.5 \]
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Multiply by 5: \[ 13.5 \times 5 = 67.5 \]
Therefore, the final result is: \[ \boxed{67.5} \]