In a recent survey conducted among 200 high school students regarding their extracurricular activities, the following results were recorded:
- 50 students play soccer.
- 40 students play basketball.
- 30 students play tennis.
- 10 students play soccer and basketball.
- 5 students play soccer and tennis.
- 7 students play basketball and tennis.
- 2 students play all three sports.
Using a Venn diagram, determine the total number of students who participate in at least one of these sports. Express your answer as a simplified fraction.