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.
Responses

3/5

2/5

2/3

20

Answer 1

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

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

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

Now, let's calculate the total number of students:

\[ \text{Total students} = 17 + 20 + 13 = 50 \]

Next, we set up the ratio of students who prefer visual learning to the total number of students:

\[ \text{Ratio} = \frac{\text{Number of students who prefer visual}}{\text{Total number of students}} = \frac{20}{50} \]

To simplify this fraction:

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

Thus, the ratio in simplest fraction form is:

\(\frac{2}{5}\)