To find out how many of Mrs. Perez's students participate in school sports, we need to calculate \( \frac{5}{7} \) of the 28 students.
We can do this by multiplying the total number of students (28) by the fraction \( \frac{5}{7} \):
\[ \text{Number of students in sports} = \frac{5}{7} \times 28 \]
Now, we can calculate it step-by-step:
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First, simplify \( 28 \div 7 \): \[ 28 \div 7 = 4 \]
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Then, multiply that result by 5: \[ 4 \times 5 = 20 \]
Thus, \( 20 \) of Mrs. Perez's students participate in school sports.
So the final answer is: \[ \text{20 students participate in school sports.} \]