A city data report shows that 1/3 of the parks in that area have a flagpole if the school decides to install more flagpoles in another one over three of the parks what is the total fractional portion of parks that have flagpoles

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

Let's denote the total number of parks as \( P \). According to the report, \( \frac{1}{3} \) of the parks have flagpoles.

So, the number of parks with flagpoles is:

\[ \text{Parks with flagpoles} = \frac{1}{3}P \]

Now, if the school decides to install flagpoles in another one over three of the parks, we interpret "one over three" as \( \frac{1}{3} \).

This means the school will install flagpoles in \( \frac{1}{3}P \) additional parks.

Now, we need to calculate the total number of parks that will have flagpoles after this installation:

\[ \text{Total parks with flagpoles} = \frac{1}{3}P + \frac{1}{3}P = \frac{2}{3}P \]

To express this as a fraction of the total number of parks, we take:

\[ \text{Fraction of parks with flagpoles} = \frac{\text{Total parks with flagpoles}}{P} = \frac{\frac{2}{3}P}{P} = \frac{2}{3} \]

Thus, the total fractional portion of parks that have flagpoles after the installation is:

\[ \frac{2}{3} \]