To represent the programming errors for every 56 programmers as a rational number, you would write it as a fraction.
Here, we have 14 programming errors for every 56 programmers, which can be written as:
\[ \frac{14}{56} \]
This simplifies to \( \frac{1}{4} \) because both the numerator and the denominator can be divided by 14.
However, the answer that directly reflects the scenario without simplifying would be the option:
14 over 56
So the correct response is:
14 over 56