Visual Representation of the Fraction 8/40: Match the Correct Diagram

To solve this problem, follow these steps:

• Step 1: Simplify the fraction $\frac{8}{40}$.
• Step 2: Visualize this fraction using the provided options.
• Step 3: Select the diagram that accurately represents the simplest form of the fraction.

Now, let's go through each step in detail:
Step 1: Simplify the fraction $\frac{8}{40}$.
- The GCD of 8 and 40 is 8.
- Simplify: $\frac{8}{40} = \frac{8 \div 8}{40 \div 8} = \frac{1}{5}$.

Step 2: Visualize $\frac{1}{5}$ on a circle.
- A circle divided into 5 equal sections, where 1 section is shaded, represents $\frac{1}{5}$.

Step 3: Compare with the given options.
- Look for the option that shows a circle divided into 5 equal parts with 1 part shaded.

The correct visual representation of $\frac{8}{40}$ (or $\frac{1}{5}$) is Option 2, which visually displays this as one out of five equal parts shaded in a circle.

Therefore, the solution to the problem is Option 2.