Visual Representation of the Fraction 9/81: Match the Correct Image

To solve this problem, we'll simplify the fraction and identify the visual representation:

• Step 1: Simplify the fraction $\frac{9}{81}$.
• Step 2: Recognize that $9$ is a common factor of both the numerator and the denominator.
• Step 3: Divide both $9$ and $81$ by their GCD, which is $9$.
• Step 4: The simplified form $\frac{9 \div 9}{81 \div 9} = \frac{1}{9}$.

Now, let's work through each step:
Step 1: Identify that $\frac{9}{81}$ can be simplified.
Step 2: Identify that the greatest common divisor between $9$ and $81$ is $9$.
Step 3: Perform the division: $\frac{9 \div 9}{81 \div 9} = \frac{1}{9}$.
Step 4: The simplified fraction represents one part out of nine equal parts in the visual representation.

Therefore, the solution to the problem is the visual representation that shows $\frac{1}{9}$, which is Choice 3.