Solve the Fraction Addition: 2/9 + 1/2

To solve the addition of the fractions $\frac{2}{9}$ and $\frac{1}{2}$, follow these steps:

• Step 1: Determine the Common Denominator.
  The least common denominator for 9 and 2 is $18$ because $9 \times 2 = 18$.
• Step 2: Adjust Each Fraction.
  Convert $\frac{2}{9}$ to a fraction over 18. Multiply both the numerator and the denominator by 2:
  $\frac{2}{9} = \frac{2 \times 2}{9 \times 2} = \frac{4}{18}$.
  Convert $\frac{1}{2}$ to a fraction over 18. Multiply both the numerator and the denominator by 9:
  $\frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18}$.
• Step 3: Add the Fractions.
  Add the resulting fractions: $\frac{4}{18} + \frac{9}{18} = \frac{4 + 9}{18} = \frac{13}{18}$.

Thus, the sum of $\frac{2}{9}$ and $\frac{1}{2}$ is $\frac{13}{18}$.