Solve the Fraction Subtraction: 2/3 - 1/9 Step by Step

To solve the problem of subtracting $\frac{1}{9}$ from $\frac{2}{3}$, we need a common denominator. Let's follow these steps:

• Step 1: Identify the common denominator for the fractions $\frac{2}{3}$ and $\frac{1}{9}$. Since $9$ is a multiple of $3$, we use $9$ as the common denominator.
• Step 2: Convert $\frac{2}{3}$ to a fraction with denominator $9$:
  To do this, multiply the numerator and the denominator of $\frac{2}{3}$ by $3$ (since $9$ divided by $3$ is $3$):
  $\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}$.
• Step 3: Subtract $\frac{1}{9}$ from $\frac{6}{9}$:
  $\frac{6}{9} - \frac{1}{9} = \frac{6 - 1}{9} = \frac{5}{9}$.

Thus, the difference between $\frac{2}{3}$ and $\frac{1}{9}$ is $\frac{5}{9}$.

Therefore, the correct choice from the given options is $\boxed{\frac{5}{9}}$.