To find the ratio that compares the number 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 participants.
The number of students who prefer each learning style is as follows:
- Auditory: 17
- Visual: 20
- Kinesthetic: 13
Total number of students = 17 + 20 + 13 = 50
Now we can write the ratio of students who prefer the visual learning style (20) to the total number of students (50):
\[ \text{Ratio} = \frac{20}{50} \]
To simplify this fraction, we can divide both the numerator and denominator by 10:
\[ \frac{20 \div 10}{50 \div 10} = \frac{2}{5} \]
Thus, the ratio that compares the number of students who preferred a visual learning style to the total number of student-participants in the survey is:
\[ \frac{2}{5} \]
So, the correct answer is:
2/5