To evaluate the expression \( A + \frac{B}{4} \) where \( A = 2 \) and \( B = 3 \), we can substitute the values of \( A \) and \( B \) into the expression:
\[ A + \frac{B}{4} = 2 + \frac{3}{4} \]
Next, we need to calculate \( \frac{3}{4} \):
\[ \frac{3}{4} = 0.75 \]
Now, we can add \( 2 \) and \( 0.75 \):
\[ 2 + 0.75 = 2.75 \]
Thus, the final result is:
\[ \boxed{2.75} \]