Compare Painted Regions: Finding Areas Greater Than 1/3

To solve this problem, we'll visually evaluate the proportion of the painted area relative to the entire space for each choice and compare it with $\frac{1}{3}$.

• First, observe each provided choice, ensuring painted portions are clearly defined.
• Count how many sections each graphic is divided into. The total sections represent the whole area.
• Determine the number of sections painted in red. This represents the painted area.
• Calculate the fraction of the painted area by dividing the number of painted sections by the total number of sections.
• Compare these fractions with $\frac{1}{3}$:
• Choice 1: 1 section painted out of 3 total sections, $\frac{1}{3}$
• Choice 2: 1 section painted out of 3 total sections, $\frac{1}{3}$
• Choice 3: 2 sections painted out of 3 total sections, $\frac{2}{3}$
• According to the calculations, Choice 3 results in a painted fraction of $\frac{2}{3}$, which is greater than $\frac{1}{3}$. Therefore, Choice 3 has the painted part greater than $\frac{1}{3}$.

Hence, the way in which the painted part is greater than $\frac{1}{3}$ is represented by Choice 3.