2. Use the diagram to show \( 3 \cdot \frac{3}{4} \). Then write the product in simplest form.

To visualize \( 3 \cdot \frac{3}{4} \) using a diagram, you could represent it with three groups of fourths. Imagine three circles, each divided into four equal parts – that gives you 12 parts in total. Out of these, taking \( \frac{3}{4} \) from each circle means you would shade in 3 parts from each, resulting in 9 shaded parts. Now, let's simplify this: you have 9 out of 12 parts shaded, so you write that as \( \frac{9}{12} \). Dividing the numerator and denominator by their greatest common divisor (which is 3), you end up with \( \frac{3}{4} \) as the simplest form of the product. So, \( 3 \cdot \frac{3}{4} = \frac{9}{12} = \frac{3}{4} \).