To solve the inequality \( \frac{4}{5}d \leq 24 \), we start by isolating \( d \).
- Multiply both sides of the inequality by \( \frac{5}{4} \) to eliminate the fraction. Note that since \( \frac{5}{4} \) is positive, the direction of the inequality remains the same:
\[ d \leq 24 \times \frac{5}{4} \]
- Calculate \( 24 \times \frac{5}{4} \):
\[ 24 \times \frac{5}{4} = 24 \div 4 \times 5 = 6 \times 5 = 30 \]
- Thus, we have:
\[ d \leq 30 \]
The solution to the inequality is \( d \leq 30 \).