Solve the Fraction Equation: 2/3 minus 2/9

To solve the subtraction of fractions $\frac{2}{3} - \frac{2}{9}$, we will follow a step-by-step approach:

• Step 1: Identify the denominators of the fractions, which are 3 and 9.
• Step 2: Find the least common denominator (LCD) of 3 and 9. Since 9 is a multiple of 3, $\text{LCD} = 9$.
• Step 3: Convert each fraction to an equivalent fraction with this denominator.
• The fraction $\frac{2}{3}$ is converted to $\frac{6}{9}$ because $2 \times 3 = 6$ and $3 \times 3 = 9$.
• The fraction $\frac{2}{9}$ remains $\frac{2}{9}$ because it already has the denominator 9.
• Step 4: Subtract the numerators: $6 - 2 = 4$.
• Step 5: Place the result over the common denominator: $\frac{4}{9}$.

Thus, the result of the subtraction $\frac{2}{3} - \frac{2}{9}$ is $\frac{4}{9}$.

Therefore, the solution to the problem is $\frac{4}{9}$.