Question

Scarlett stopped at a campground along the Appalachian trail. The campground had a 1
2
acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent.

Which expression would give you the size of Scarlett’s campsite? Check all that apply.
One-half divided by 6
StartFraction 6 Over 7 EndFraction divided by 6
6 divided by one-half
StartFraction 6 Over 12 EndFraction divided by 6

Answer 1

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:

1. **One-half divided by 6**: This is \(\frac{1}{2} \div 6\), which is correct. ✔️

2. **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. ❌

3. **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. ❌

4. **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