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.
Number of students:
- Auditory learning style: 17
- Visual learning style: 20
- Kinesthetic learning style: 13
Total number of students = 17 + 20 + 13 = 50
Now, we compare the number of students who preferred the visual learning style (20) to the total number of students (50):
The ratio is:
\[ \frac{20}{50} \]
To simplify this fraction:
\[ \frac{20 \div 10}{50 \div 10} = \frac{2}{5} \]
Thus, the ratio in its simplest form is:
\[ \frac{2}{5} \]
Therefore, the answer is 2/5.