To add \(-127\) and \(314\), we can first convert \(-127\) into a fraction.
\(-127\) can be expressed as \(-127/1\). Next, we convert \(314\) into a fraction as well, which is \(314/1\).
Now we can add the two fractions:
\[ -\frac{127}{1} + \frac{314}{1} = \frac{-127 + 314}{1} = \frac{187}{1} \]
This simplifies to just \(187\).
Since \(187\) is an integer, it can also be represented as a reduced improper fraction:
\[ \frac{187}{1} \]
Thus, the final answer is:
\[ -\frac{127 + 314}{1} = \frac{187}{1} = 187 \]