What is the result of the operation \(\frac{4}{6} + \frac{3}{9}\)?

Step 1 ：First, we need to reduce the fractions to their simplest form. The fraction \(\frac{4}{6}\) can be reduced to \(\frac{2}{3}\) by dividing both the numerator and the denominator by 2. The fraction \(\frac{3}{9}\) can be reduced to \(\frac{1}{3}\) by dividing both the numerator and the denominator by 3.

Step 2 ：Now, we add the reduced fractions together: \(\frac{2}{3} + \frac{1}{3}\)

Step 3 ：Adding the fractions gives us: \(\frac{3}{3}\)