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)

Answer 1

To find the ratio 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 students.

From the data provided:
- Students who prefer auditory learning style: 17
- Students who prefer visual learning style: 20
- Students who prefer kinesthetic learning style: 13

Now, we add these numbers together to find the total number of student-participants:

Total = 17 (auditory) + 20 (visual) + 13 (kinesthetic) = 50 students

Next, we compare the number of students who prefer visual learning style (20) to the total number of students (50).

The ratio is:

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

Now, we simplify the fraction:

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

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

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