The expression is \( \frac{18}{25} \times 24 \).
Let's simplify step by step:
Write it clearly: \[ \frac{18}{25} \times 24 \]
Multiply across: \[ \frac{18 \times 24}{25} \]
Calculate numerator: \[ 18 \times 24 = (18 \times 20) + (18 \times 4) = 360 + 72 = 432 \]
So, the expression becomes: \[ \frac{432}{25} \]
This is an improper fraction. As a mixed number:
Divide 432 by 25:
\[ 25 \times 17 = 425 \quad \text{(since } 25 \times 17 = 425) \]
Remaining:
\[ 432 - 425 = 7 \]
So, the mixed number is:
\[ 17 \frac{7}{25} \]
Final answer:
\[ \boxed{ 17 \frac{7}{25} } \]