Identify the Shape with Exactly 2/7 Shaded Area

To solve this problem, we'll determine which shape has a fraction of $\frac{2}{7}$ of its sections painted:

• Step 1: Analyze the given choices to determine the total number of sections in each shape.
• Step 2: Count the number of painted sections in each shape.
• Step 3: Calculate the fraction of painted sections for each shape.
• Step 4: Identify which, if any, of the fractions is equal to $\frac{2}{7}$.

Let's go through these steps with the shapes provided:

Choice 1: This shape is divided into 5 sections (3 empty, 2 painted):

The fraction of painted sections $= \frac{2}{5}$.

Choice 2: This shape is divided into 7 sections (5 empty, 2 painted):

The fraction of painted sections $= \frac{2}{7}$.

Choice 3: This shape is divided into 7 sections, same as choice 2:

The fraction of painted sections $= \frac{2}{7}$.

Choice 4: This shape is divided into 7 sections (5 empty, 2 painted):

The fraction of painted sections $= \frac{2}{7}$.

Both Choice 2 and Choice 4 have exactly the fraction $\frac{2}{7}$ of the sections painted. Since we are looking for one choice, we’ll choose the first (Choice 2) based on its placement in the sequence.

Therefore, the shape which represents a fraction of the painted part of $\frac{2}{7}$ is found in Choice 2.