To determine the ratio that compares the number of students who preferred a visual learning style to the total number of student-participants, we first need to find the total number of students.
From the provided information, we have:
- Auditory: 17 students
- Visual: 20 students
- Kinesthetic: 13 students
Now, let's calculate the total number of student-participants:
\[ \text{Total} = 17 + 20 + 13 = 50 \]
Next, we write the ratio of students who preferred the visual learning style to the total number of students:
\[ \text{Ratio} = \frac{\text{Number of students who prefer visual}}{\text{Total number of students}} = \frac{20}{50} \]
Now, we simplify the fraction:
\[ \frac{20}{50} = \frac{2}{5} \]
Thus, the simplest fraction form for the ratio comparing the number of students who preferred a visual learning style to the total number of student-participants is:
\[ \frac{2}{5} \]
Therefore, the answer is:
Start Fraction 2 over 5 End Fraction