To generate an equivalent expression for \( 136 \cdot 13 - \frac{1}{2} \), we can break it down into steps.
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Calculate \( 136 \cdot 13 \). \[ 136 \cdot 13 = 1768 \]
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Now, subtract \( \frac{1}{2} \) from the result: \[ 1768 - \frac{1}{2} \]
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To combine these, you can convert \( 1768 \) into a fraction: \[ 1768 = \frac{3536}{2} \]
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Now, perform the subtraction: \[ \frac{3536}{2} - \frac{1}{2} = \frac{3536 - 1}{2} = \frac{3535}{2} \]
Thus, an equivalent expression to \( 136 \cdot 13 - \frac{1}{2} \) is:
\[ \frac{3535}{2} \]