To solve the division of fractions, you can multiply by the reciprocal. The expression \( \frac{4}{5} \div \frac{5}{6} \) can be rewritten as:
\[ \frac{4}{5} \times \frac{6}{5} \]
Now, multiply the numerators and the denominators:
\[ = \frac{4 \times 6}{5 \times 5} = \frac{24}{25} \]
Therefore, the answer is \( \frac{24}{25} \) (which corresponds to the option "2425" or "24 over 25").