To solve the expression "five two over three 1/2 *", we need to interpret it correctly. It seems to be asking for the multiplication of the mixed number \(5 \frac{2}{3}\) by \(\frac{1}{2}\).
Let's break it down step by step.
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Convert the mixed number \(5 \frac{2}{3}\) into an improper fraction: \[ 5 \frac{2}{3} = 5 + \frac{2}{3} = \frac{5 \cdot 3}{3} + \frac{2}{3} = \frac{15}{3} + \frac{2}{3} = \frac{17}{3} \]
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Now we multiply \(\frac{17}{3}\) by \(\frac{1}{2}\): \[ \frac{17}{3} \times \frac{1}{2} = \frac{17 \cdot 1}{3 \cdot 2} = \frac{17}{6} \]
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Finally, if you need to convert it back into a mixed number: \[ \frac{17}{6} = 2 \frac{5}{6} \]
So, the result of \(5 \frac{2}{3} \times \frac{1}{2}\) is \(\frac{17}{6}\) or \(2 \frac{5}{6}\).