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, first, we need to determine the total number of students surveyed.
The number of students who prefer each learning style is:
- Auditory learning style: 17
- Visual learning style: 20
- Kinesthetic learning style: 13
Now, calculate the total number of students:
Total students = 17 (auditory) + 20 (visual) + 13 (kinesthetic)
Total students = 50
Next, we will compare the number of students who preferred the visual learning style to the total number of students:
\[ \text{Ratio} = \frac{\text{Number of students who prefer visual learning}}{\text{Total number of students}} = \frac{20}{50} \]
To simplify the fraction:
\[ \frac{20}{50} = \frac{2}{5} \]
Therefore, the ratio in its simplest form is:
Start Fraction 2 over 5 End Fraction.