To find the sum of \( p \) and \( Q \), we first need to organize the values given:
Let \( p = \frac{3}{4} \) and \( Q = -\frac{11}{4} \).
Now, we can sum \( p \) and \( Q \):
\[ p + Q = \frac{3}{4} + \left(-\frac{11}{4}\right) \]
This simplifies to:
\[ p + Q = \frac{3}{4} - \frac{11}{4} \]
Since both fractions have the same denominator, we can combine the numerators:
\[ p + Q = \frac{3 - 11}{4} \]
Calculating the numerator:
\[ 3 - 11 = -8 \]
Thus, we have:
\[ p + Q = \frac{-8}{4} \]
Now, simplify \( \frac{-8}{4} \):
\[ \frac{-8}{4} = -2 \]
Therefore, the sum of \( p \) and \( Q \) is:
\[ \boxed{-2} \]