To determine the size of Scarlett's campsite, we start with the total area of the campground, which is \(\frac{1}{2}\) acre, divided into 6 equal campsites.
To find the size of one campsite, we calculate:
\[ \text{Size of one campsite} = \frac{\text{Total Area}}{\text{Number of Campsites}} = \frac{\frac{1}{2}}{6} \]
Thus, the correct expression for the size of Scarlett's campsite is:
\[ \frac{1}{2} \div 6 \]
Let's analyze the other expressions to see if they give the same result or not:
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One-half divided by 6: This is \(\frac{1}{2} \div 6\), which is correct. ✔️
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StartFraction 6 Over 7 EndFraction divided by 6: This is \(\frac{6}{7} \div 6\), which is not related to the area of the campground. ❌
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6 divided by one-half: This is \(6 \div \frac{1}{2}\), which gives \(12\), but it is not relevant to finding the campsite size. ❌
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StartFraction 6 Over 12 EndFraction divided by 6: This is \(\frac{6}{12} \div 6\) or \(\frac{1}{2} \div 6\), which is equivalent to the correct calculation. ✔️
In summary, the correct expressions for the size of Scarlett's campsite, based on the provided options, are:
- One-half divided by 6
- StartFraction 6 Over 12 EndFraction divided by 6