To write 14 programming errors for every 56 programmers as a rational number, you would express it as the ratio of errors to programmers:
\[ \frac{14}{56} \]
Now, let's simplify this fraction. Both the numerator and the denominator can be divided by 14:
\[ \frac{14 \div 14}{56 \div 14} = \frac{1}{4} \]
However, in the context of your question, the representation of 14 programming errors for 56 programmers in its original form is:
B. 14/56
So the correct answer is B. 14/56.