To express \(4 \frac{1}{2}\) as a fraction, we can convert the mixed number to an improper fraction.
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First, convert \(4\) to a fraction with the same denominator as the fractional part. Since \(\frac{1}{2}\) has a denominator of \(2\), we can write \(4\) as \(\frac{4 \times 2}{2} = \frac{8}{2}\).
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Now, add the fractional part: \[ 4 \frac{1}{2} = \frac{8}{2} + \frac{1}{2} = \frac{8 + 1}{2} = \frac{9}{2}. \]
So, \(4 \frac{1}{2} = \frac{9}{2}\). Therefore, you can express it as:
\[ \frac{9}{2} = [?]/[?] \rightarrow \text{where } ? = 9 \text{ and } ? = 2. \]