Converting Circle Diagram Sectors into Written Fraction Form

Write the fraction shown in the picture, in words:

To solve this problem, we will follow these steps:

• Step 1: Analyze the given circle, which is evenly divided.
• Step 2: Identify the total number of segments, which equals the denominator of our fraction.
• Step 3: Count the number of shaded segments to find the numerator of our fraction.
• Step 4: Convert this fraction into a verbal expression, or words.

Now, let's work through each step:

Step 1: Observe that the circle is divided into equal segments. Generally, such diagrams show a complete circle as the total parts.

Step 2: The circle in the image is visibly divided into 8 equal parts. Thus, the denominator of our fraction is $8$.

Step 3: Count the shaded parts within the circle. From the image, 3 parts are shaded.

Step 4: Therefore, the numerator is $3$. We write the fraction $\frac{3}{8}$ in words, which is "three eighths".

Thus, the solution to the problem is: Three eighths, corresponding to choice 4.