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

1 answer

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