How do you write 14 programming errors for every 56 programmers as a rational

Question

number? Select the rational number that represents this scenario. (1 point)
56
○ 14
14
56
○ 4

Answer 1

To express the scenario of 14 programming errors for every 56 programmers as a rational number, you can write it as a fraction:

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

Now, simplify the fraction:

1. Find the greatest common divisor (GCD) of 14 and 56, which is 14.
2. Divide both the numerator and the denominator by their GCD:

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

Thus, 14 programming errors for every 56 programmers can be represented as the rational number \( \frac{1}{4} \).

Among your options, while \( \frac{14}{56} \) is correct, its simplified form \( \frac{1}{4} \) (which may be represented as 4 in a different context) is also correct. However, in the provided options, the rational number representation of \( \frac{14}{56} \) directly matches "14/56."

So, the correct answer reflecting the original scenario in the form of a fraction is:

14/56