How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario

3 answers

To express the quantity of programming errors for every programmer as a rational number, you can set up the ratio of programming errors to programmers.

You have 14 programming errors for 56 programmers. To express this as a rational number, you can write it as:

\[ \frac{14 \text{ errors}}{56 \text{ programmers}} \]

Next, you can simplify this fraction. Both the numerator and the denominator can be divided by 14:

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

Thus, the rational number that represents 14 programming errors for every 56 programmers is \( \frac{1}{4} \).

How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario
A. 14
B. 14/56
C. 56
D. 4

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

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

This simplifies to:

\[ \frac{1}{4} \]

However, from the options you provided:

A. 14
B. 14/56
C. 56
D. 4

The correct choice that directly represents the number of errors with respect to the number of programmers is:

B. \(\frac{14}{56}\)

This is the fraction that corresponds to the scenario before simplification.