Solve: 3 × 8/12 Fraction Multiplication Problem

To solve this problem, we'll pursue a step-by-step method:

• Step 1: Simplify the fraction $\frac{8}{12}$. The greatest common divisor of 8 and 12 is 4, so dividing both the numerator and denominator by 4 gives $\frac{2}{3}$.
• Step 2: Multiply the integer 3 by the simplified fraction $\frac{2}{3}$.

Let's proceed with these steps:
Step 1: Simplify $\frac{8}{12}$:
$\frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3}$.

Step 2: Multiply the integer by the fraction:
$3 \times \frac{2}{3} = \frac{3 \times 2}{3} = \frac{6}{3} = 2$.

Thus, the result of the multiplication is $\boxed{2}$.