In a survey of teenagers, 3/4 responded that they got regular exercise, and 5/9 of those said that soccer was their main form of workout. What fraction of teenagers mainly exercise by playing soccer.

Answer 1

To find the fraction of teenagers that mainly exercise by playing soccer, we need to multiply the fraction of teenagers that got regular exercise by the fraction of those who said soccer was their main form of workout.

Fraction of teenagers that got regular exercise = 3/4
Fraction of those who said soccer was their main form of workout = 5/9

Fraction of teenagers that mainly exercise by playing soccer = (3/4) * (5/9)
= (3*5)/(4*9)
= 15/36
= 5/12

So, the fraction of teenagers that mainly exercise by playing soccer is 5/12. Answer: \boxed{\frac{5}{12}}.