Solve the Fraction Addition: 2/9 + 3/18 Step-by-Step

To solve this problem, we will first convert $\frac{2}{9}$ to have a denominator of 18, then proceed to add the fractions.

Step 1: Convert $\frac{2}{9}$ to have a denominator of 18.
To convert $\frac{2}{9}$ to a fraction with a denominator of 18, recognize that 18 is twice 9. Therefore, multiply both the numerator and the denominator by 2:
$\frac{2}{9} = \frac{2 \times 2}{9 \times 2} = \frac{4}{18}$.

Step 2: Add the fractions $\frac{4}{18}$ and $\frac{3}{18}$.
Since the fractions now have the same denominator, simply add the numerators:
$\frac{4}{18} + \frac{3}{18} = \frac{4 + 3}{18} = \frac{7}{18}$.

There is no need to simplify further as $\frac{7}{18}$ is already in its simplest form.

The correct answer choice is $\frac{7}{18}$, which matches choice 1.

Therefore, the sum of $\frac{2}{9}$ and $\frac{3}{18}$ is $\frac{7}{18}$.