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

To solve this problem, we need to add the fractions $\frac{2}{3}$ and $\frac{1}{9}$ by finding a common denominator.

First, we identify the least common denominator (LCD). The LCD of 3 and 9 is 9. We must convert $\frac{2}{3}$ to an equivalent fraction with a denominator of 9.

To convert $\frac{2}{3}$, we multiply both the numerator and the denominator by 3 (since $3 \times 3 = 9$), giving us:

$\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}$

Now, we can add the fractions:

$\frac{6}{9} + \frac{1}{9} = \frac{6 + 1}{9} = \frac{7}{9}$

Therefore, the solution to the problem is $\frac{7}{9}$.