Visual Representation of the Fraction 9/6: Choose the Correct Model

To solve the problem, we'll follow these steps:

• Step 1: Simplify the fraction $\frac{9}{6}$.
• Step 2: Convert the simplified fraction to a mixed number, if necessary.
• Step 3: Identify the corresponding visual representation from the options.

Let's proceed with each step:
Step 1: Simplify $\frac{9}{6}$.
To simplify, find the greatest common divisor (GCD) of 9 and 6, which is 3. Divide both the numerator and the denominator by 3:

$\frac{9}{6} = \frac{9 \div 3}{6 \div 3} = \frac{3}{2}$

Step 2: Convert $\frac{3}{2}$ to a mixed number.
Since $\frac{3}{2}$ is an improper fraction, we can express it as a mixed number: 1 whole and $\frac{1}{2}$.
That is, $1 \frac{1}{2}$. This corresponds to one whole circle and a half of another circle.

Step 3: Identify the visual representation.
From the choices, identify which diagram shows one full circle shaded in red (representing the whole number 1) and half of another circle shaded in red (representing $\frac{1}{2}$).

The correct option visually representing $\frac{9}{6}$ or $1 \frac{1}{2}$, where there is one complete circle shaded and another half circle shaded, is Choice 2.

Therefore, the solution to the problem is Choice 2.