Solve the Fraction Addition: 1/3 + 2/9 Step by Step

To solve this problem, let's follow these steps:

• Step 1: Identify the common denominator.
  Since 9 is a multiple of 3, our least common denominator will be 9.
• Step 2: Convert $\frac{1}{3}$ to an equivalent fraction with a denominator of 9.
  To do this, multiply both the numerator and the denominator by 3: $\frac{1 \times 3}{3 \times 3} = \frac{3}{9}$.
• Step 3: The other fraction, $\frac{2}{9}$, already has the denominator 9, so we don't need to change it.
• Step 4: Add the fractions $\frac{3}{9} + \frac{2}{9}$.
• Step 5: Add the numerators: $3 + 2 = 5$.
• Step 6: Combine over the common denominator: $\frac{5}{9}$.

Therefore, the solution to the problem is $\frac{5}{9}$.