To express the ratio of 14 programming errors for every 56 programmers as a rational number, you can write it as a fraction:
\[ \frac{14}{56} \]
This fraction can be simplified. By dividing both the numerator and the denominator by 14, we get:
\[ \frac{14 \div 14}{56 \div 14} = \frac{1}{4} \]
However, if the question specifically asks for the representation without simplification, you would choose:
A. 14 over 56
as the rational number that represents this scenario.