To solve \( \frac{4}{5} \div \frac{5}{6} \), you can multiply by the reciprocal of the second fraction. The reciprocal of \( \frac{5}{6} \) is \( \frac{6}{5} \).
Now, rewrite the division as multiplication:
\[ \frac{4}{5} \div \frac{5}{6} = \frac{4}{5} \times \frac{6}{5} \]
Next, multiply the numerators and the denominators:
\[ \frac{4 \times 6}{5 \times 5} = \frac{24}{25} \]
Thus, the solution to \( \frac{4}{5} \div \frac{5}{6} \) is
\[ \frac{24}{25} \]
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