To solve the inequality
\[ \frac{4}{5}d \leq 24, \]
we can isolate \(d\).
- Start by multiplying both sides of the inequality by \(5\) to eliminate the fraction:
\[ 4d \leq 120. \]
- Next, divide both sides by \(4\):
\[ d \leq 30. \]
Thus, the solution to the inequality is
\[ d \leq 30. \]