Question

Question
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

35
Start Fraction 3 over 5 End Fraction

25
Start Fraction 2 over 5 End Fraction

23
Start Fraction 2 over 3 End Fraction

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 find the total number of students.

Number of students preferring each learning style:

- Auditory: 17
- Visual: 20
- Kinesthetic: 13

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

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

The ratio is \( \frac{20}{50} \).

To simplify this fraction, we can 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 ratio comparing the number of students who preferred a visual learning style to the total number of student-participants is:

**Start Fraction 2 over 5 End Fraction**.