To simplify \( 4 - \frac{1}{2} \), you can convert the whole number \( 4 \) into a fraction that has the same denominator as \( \frac{1}{2} \).
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Convert \( 4 \) to a fraction: \[ 4 = \frac{4 \times 2}{1 \times 2} = \frac{8}{2} \]
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Now subtract \( \frac{1}{2} \): \[ \frac{8}{2} - \frac{1}{2} = \frac{8 - 1}{2} = \frac{7}{2} \]
So, \( 4 - \frac{1}{2} = \frac{7}{2} \).
As a mixed number, this can also be expressed as: \[ 3 \frac{1}{2} \]
Thus, the final simplified result is: \[ \frac{7}{2} \text{ or } 3 \frac{1}{2} \]