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

To solve the problem of adding $\frac{2}{3}$ and $\frac{1}{9}$, we follow these steps:

• Step 1: Find a common denominator.
  The denominators are 3 and 9. Since 9 is a multiple of 3, we can use 9 as the common denominator.
• Step 2: Convert the fractions to have the common denominator.
  - To convert $\frac{2}{3}$ to have a denominator of 9, multiply both the numerator and denominator by 3: $\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}$
• Step 3: Add the fractions $\frac{6}{9}$ and $\frac{1}{9}$.
  $\frac{6}{9} + \frac{1}{9} = \frac{6+1}{9} = \frac{7}{9}$
• Step 4: Simplify the result, if necessary.
  The fraction $\frac{7}{9}$ is already in its simplest form.

Therefore, the solution to $\frac{2}{3} + \frac{1}{9}$ is $\frac{7}{9}$.