Claire completes \( \frac{2}{5} \) of the area of the picture in \( \frac{1}{2} \) hour. To find how much she can complete in 1 hour, we can first determine her rate of completion.
Since she completes \( \frac{2}{5} \) of the picture in \( \frac{1}{2} \) hour, we can multiply that amount by 2 to find out how much she can complete in 1 hour:
\[ \text{Amount completed in 1 hour} = \left(\frac{2}{5}\right) \times 2 = \frac{4}{5} \]
Thus, Claire will complete \( \frac{4}{5} \) of the picture in 1 hour.