To find the ratio that represents the number of students who prefer soccer to the total number of students in Arturo’s class, we first need to determine the total number of students.
Number of students who prefer soccer: 20
Number of students who prefer football: 16
Total number of students = 20 (soccer) + 16 (football) = 36.
Now, the ratio of students who prefer soccer to the total number of students is:
\[ \text{Ratio} = \frac{\text{Number of students who prefer soccer}}{\text{Total number of students}} = \frac{20}{36}. \]
We can simplify this fraction:
\[ \frac{20}{36} = \frac{5}{9} \quad (\text{dividing both numerator and denominator by 4}). \]
So the ratio that represents the number of students who prefer soccer to the total number of students in Arturo’s class is:
\[ \frac{5}{9}. \]
Thus, the correct answer is StartFraction 5 Over 9 EndFraction.