Step 1 :Find a common denominator for the two fractions: \(\text{lcm}(2, 3) = 6\)
Step 2 :Rewrite the fractions with the common denominator: \(\frac{1}{2} = \frac{3}{6}\) and \(\frac{1}{3} = \frac{2}{6}\)
Step 3 :Add the numerators: \(3 + 2 = 5\)
Step 4 :Combine the fractions: \(\frac{3}{6} + \frac{2}{6} = \frac{5}{6}\)
Step 5 :\(\boxed{\frac{5}{6}}\) is the final answer