To solve \( \frac{4}{5} \div \frac{5}{6} \), we can multiply by the reciprocal of the second fraction:
\[ \frac{4}{5} \div \frac{5}{6} = \frac{4}{5} \times \frac{6}{5} \]
Now multiply the fractions:
\[ \frac{4 \times 6}{5 \times 5} = \frac{24}{25} \]
So the answer is:
24/25