To simplify \( 25 \frac{3}{2} \), first convert the mixed number to an improper fraction:
\[ 25 \frac{3}{2} = 25 + \frac{3}{2} \]
Next, convert 25 to a fraction with a denominator of 2:
\[ 25 = \frac{25 \times 2}{1 \times 2} = \frac{50}{2} \]
Now, add the two fractions:
\[ \frac{50}{2} + \frac{3}{2} = \frac{50 + 3}{2} = \frac{53}{2} \]
To convert this improper fraction to a decimal:
\[ \frac{53}{2} = 26.5 \]
However, if you were simply asked to calculate \( 25 \times \frac{3}{2} \), you could do it directly:
\[ 25 \times \frac{3}{2} = \frac{25 \times 3}{2} = \frac{75}{2} = 37.5 \]
Given the response options, the correct simplification of \( 25 \frac{3}{2} \) is:
37.5