Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hour, how long will it take her to complete the entire picture? Enter your answer as a simplified fraction. (1 point)

Charla completes \( \frac{2}{3} \) of the area in \( \frac{1}{2} \) hour.

To find out how long it takes her to complete the entire area, we can set up a proportion based on the work done. If \( \frac{2}{3} \) of the area takes \( \frac{1}{2} \) hour, then we can find time \( T \) to complete the entire area using the formula:

\[ \frac{2}{3} : \frac{1}{2} = 1 : T \]

We can set up the equation:

\[ \frac{2}{3} = \frac{1}{2} \cdot T \]

To solve for \( T \), we can rearrange the equation:

\[ T = \frac{2}{3} \div \frac{1}{2} \]

Dividing by a fraction is equivalent to multiplying by its reciprocal:

\[ T = \frac{2}{3} \cdot \frac{2}{1} \]

Now we calculate \( T \):

\[ T = \frac{2 \cdot 2}{3 \cdot 1} = \frac{4}{3} \]

Thus, it will take Charla \( \frac{4}{3} \) hours to complete the entire picture.

The final answer is:

\[ \boxed{\frac{4}{3}} \]