A city data report shows that 1/3

of the parks in that area have a flagpole. If the city decides to install more flagpoles in another 1/3
of the parks, what is the total fractional portion of parks that have flagpoles?

1 answer

Let the total number of parks in the area be represented as \( P \).

Currently, \( \frac{1}{3} \) of the parks have flagpoles. Therefore, the number of parks with flagpoles is:

\[ \frac{1}{3} P \]

The city decides to install flagpoles in another \( \frac{1}{3} \) of the parks. The number of parks that will have flagpoles installed is:

\[ \frac{1}{3} P \]

To find the total number of parks with flagpoles after the new installations, we add the current number of parks with flagpoles to the number of parks that will have flagpoles installed:

\[ \frac{1}{3} P + \frac{1}{3} P = \frac{2}{3} P \]

Now, we need to determine the total fractional portion of parks that have flagpoles. Since there are still \( P \) total parks, we can express the fractional portion of parks that have flagpoles as:

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

This simplifies to:

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

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

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