In a survey of teenagers, ⅔ responded that they got regular exercise, and ⅘ of those said that walking was their main form of exercise. What fraction of the teenagers mainly exercise by walking? (1 point)
If 2/3 of the teenagers got regular exercise, that means 2/3 * 4/4 = <<2/3*4/4=8/12>>8/12 of the teenagers got regular exercise.
If 8/12 of the teenagers got regular exercise by walking, that means 8/12 * 5/5 = <<8/12*5/5=40/60>>40/60 of the teenagers mainly exercise by walking. Answer: \boxed{\frac{4}{6}}.
To find the fraction of teenagers who mainly exercise by walking, we need to multiply the fractions representing the total number of teenagers who exercise regularly and the fraction of those who mainly exercise by walking.
Given that 2/3 of the teenagers responded that they got regular exercise:
Fraction of teenagers who exercise regularly = 2/3
Out of those who exercise regularly, 4/5 said that walking was their main form of exercise:
Fraction of teenagers who mainly exercise by walking = 4/5
To find the fraction of teenagers who mainly exercise by walking, we multiply the two fractions:
(2/3) * (4/5) = 8/15
Therefore, the fraction of teenagers who mainly exercise by walking is 8/15.
To find the fraction of teenagers who mainly exercise by walking, we need to multiply the two fractions: the fraction of teenagers who got regular exercise (⅔) and the fraction of those who said walking was their main form of exercise (⅘).
⅔ * ⅘ = (2/3) * (4/5) = 8/15
Therefore, the fraction of teenagers who mainly exercise by walking is 8/15.