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

14
14

1456
14 over 56

4
4

56

Answer 1

is that correct

Answer 2

is 14/56 correct

Answer 3

To express "14 programming errors for every 56 programmers" as a rational number, you would write it as a fraction:

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

Now, we can simplify this fraction by finding the greatest common divisor (GCD) of 14 and 56, which is 14:

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

Thus, the simplified version of the rational number is \( \frac{1}{4} \), but none of the answer choices provided directly express \( \frac{1}{4} \).

However, if we are focusing on the fraction itself, the answer choice that directly represents the scenario before simplification is:

**14 over 56**

This corresponds to \(\frac{14}{56}\).

Answer 4

Yes, the response is correct. The representation of "14 programming errors for every 56 programmers" as a rational number is initially given by the fraction:

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

This fraction can be simplified to \(\frac{1}{4}\), but since the question asks for the representation before simplification, the correct answer among the provided options is:

**14 over 56**

If the question had asked for the simplified form, the answer would be \(\frac{1}{4}\). However, since the question requests the original representation, "14 over 56" is indeed the correct choice.

Answer 5

Yes, \( \frac{14}{56} \) is the correct representation of "14 programming errors for every 56 programmers."

This fraction represents the ratio of errors to programmers, and it can indeed be simplified. When simplified, \( \frac{14}{56} \) reduces to \( \frac{1}{4} \), meaning that there is 1 programming error for every 4 programmers.

So in conclusion, both \( \frac{14}{56} \) and its simplified form \( \frac{1}{4} \) accurately represent the relationship of programming errors to programmers.