A survey was conducted to determine students’ preferred learning style. The distribution of responses from the sample participants are summarized as follows: This table presents the number of students who prefer auditory, visual, and kinesthetic learning styles. Learning Styles Number of Students Who Prefer Each Style auditory learning style 17 visual learning style 20 kinesthetic learning style 13 Write a ratio that compares the number of students who preferred a visual learning style to the number of student-participants of the survey. Write your answer in the simplest fraction form.(1 point) Responses 20 20 3/5 Start Fraction 3 over 5 End Fraction 2/3 Start Fraction 2 over 3 End Fraction 2/5

1 answer

To find the ratio that compares the number of students who prefer a visual learning style to the total number of student-participants in the survey, we first need to calculate the total number of participants.

The number of students who prefer each learning style is as follows:

  • Auditory: 17
  • Visual: 20
  • Kinesthetic: 13

Total number of students = 17 + 20 + 13 = 50

Now we can write the ratio of students who prefer the visual learning style (20) to the total number of students (50):

\[ \text{Ratio} = \frac{20}{50} \]

To simplify this fraction, we can divide both the numerator and denominator by 10:

\[ \frac{20 \div 10}{50 \div 10} = \frac{2}{5} \]

Thus, the ratio that compares the number of students who preferred a visual learning style to the total number of student-participants in the survey is:

\[ \frac{2}{5} \]

So, the correct answer is:

2/5