Solve Mixed Fraction Operations: (2/3 ÷ 3/4) + 1/9

To solve this fraction problem, follow these steps:

• Step 1: Evaluate the Division:
  The expression starts with $\frac{2}{3} \div \frac{3}{4}$. To divide fractions, multiply by the reciprocal:
  $\frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times 3} = \frac{8}{9}$
• Step 2: Add Fractions:
  Now add $\frac{8}{9}$ to $\frac{1}{9}$. Since the denominators are the same, add the numerators directly:
  $\frac{8}{9} + \frac{1}{9} = \frac{8 + 1}{9} = \frac{9}{9} = 1$

Thus, the solution to the expression $\frac{2}{3}:\frac{3}{4} + \frac{1}{9}$ is $1$.