Question

How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario. (1 point)
Responses

56
56

4
4

14
14

1456

Answer 1

To express the scenario "14 programming errors for every 56 programmers" as a rational number, you would write it as a fraction. This can be represented as:

\[
\frac{14}{56}
\]

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 14:

\[
\frac{14 \div 14}{56 \div 14} = \frac{1}{4}
\]

However, since you're required to choose an option from the responses provided, you should simply pick one that matches the original ratio before simplification.

Among the options provided, \(\frac{14}{56}\) is not a simplification option, but "14" could be interpreted as the numerator out of the context. However, the only relevant rational number representing the scenario, without the simplification context, is \(\frac{14}{56}\) specifically, but it isn't listed as an option.

If finding a match with the given option “4” occurs, it would represent the simplified ratio:

Thus, the final answer selected should be **14** which aligns with the numerator depicting the programming errors.

Make sure to note, that's context-wise valid within the answers set provided.