To divide \( \frac{11}{3} \) by \( \frac{2}{3} \), you multiply by the reciprocal of the second fraction.
The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).
So, the calculation becomes:
\[ \frac{11}{3} \div \frac{2}{3} = \frac{11}{3} \times \frac{3}{2} \]
Now, you can multiply the numerators and the denominators:
\[ = \frac{11 \times 3}{3 \times 2} = \frac{33}{6} \]
Next, you can simplify \( \frac{33}{6} \):
Both the numerator and the denominator can be divided by 3:
\[ = \frac{11}{2} \]
So,
\[ \frac{11}{3} \div \frac{2}{3} = \frac{11}{2} \]
The final answer is \( \frac{11}{2} \) or \( 5.5 \).