Find the sum of p and q if p = 3/4 and q = -11/4. Reduce your answer to lowest terms.

Question

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Answer 1

To find the sum of \( p \) and \( q \), we start with the given values:

\[ p = \frac{3}{4} \]
\[ q = \frac{-11}{4} \]

We can add the fractions directly since they have the same denominator:

\[
p + q = \frac{3}{4} + \frac{-11}{4}
\]

Combining the numerators while keeping the common denominator:

\[
p + q = \frac{3 + (-11)}{4} = \frac{3 - 11}{4} = \frac{-8}{4}
\]

Next, we simplify the fraction:

\[
\frac{-8}{4} = -2
\]

Thus, the sum of \( p \) and \( q \) is:

\[
\boxed{-2}
\]