factor,

Let's simplify the expression you provided and write \( 3 \cdot \frac{6}{16} \) as a single fraction.

1. First, calculate \( 3 \cdot \frac{6}{16} \): \[ 3 \cdot \frac{6}{16} = \frac{3 \cdot 6}{16} = \frac{18}{16} \]

2. Next, simplify \( \frac{18}{16} \): \[ \frac{18}{16} = \frac{9}{8} \quad \text{(dividing both the numerator and denominator by 2)} \]

So, the final result of \( 3 \cdot \frac{6}{16} \) as a single fraction is: \[ \frac{9}{8} \]