A survey was conducted to determine students’ preferred learning style. The distribution of responses from the sample participants are summarized as follows:

Question

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

25
Start Fraction 2 over 5 End Fraction

35
Start Fraction 3 over 5 End Fraction

2/3

Answer 1

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

Total number of students = Number of students preferring auditory + Number of students preferring visual + Number of students preferring kinesthetic = 17 + 20 + 13 = 50 students

Now, we compare the number of students who prefer a visual learning style (20) to the total number of students (50):

The ratio is:

\[ \frac{20}{50} \]

To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 10:

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

Thus, the simplest form of the ratio comparing the number of students who preferred a visual learning style to the total number of student participants is:

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

The correct response is:

Start Fraction 2 over 5 End Fraction