212k views
3 votes
In a survey of teenagers, 2/3 responded that they got regular exercise, and 4/5 of those said that walking was their main form of exercise. What fraction of the teenagers

mainly exercise by walking? (1 point)

User Torewin
by
7.9k points

2 Answers

4 votes

Final answer:

To find the fraction of teenagers mainly exercising by walking, we multiply 2/3 by 4/5, resulting in 8/15 of the teenagers.

Step-by-step explanation:

To find out the fraction of teenagers who mainly exercise by walking, we need to multiply the fraction that got regular exercise (2/3) by the fraction of those who said that walking was their main form of exercise (4/5).

We perform the multiplication:
(2/3) * (4/5) = 8/15.

So, 8/15 of the teenagers surveyed mainly exercise by walking.

To find the fraction of teenagers who mainly exercise by walking, we need to multiply the fraction of teenagers who exercise regularly by the fraction of those who say walking is their main form of exercise.

First, we multiply 2/3 (the fraction of teenagers who exercise regularly) by 4/5 (the fraction of those who say walking is their main form of exercise):

2/3 x 4/5 = (2 x 4) / (3 x 5) = 8/15.

Therefore, 8/15 of the teenagers mainly exercise by walking.

User MHebes
by
7.8k points
2 votes

Answer:

8/15

Step-by-step explanation:

(2/3)(4/5) = 8/15

To test this out, assume 100 teenagers were surveyed.

100 x 2/3 = 200/3 ≈ 67 students got regular exercise

200/3 x 4/5 = 800/15 = 53.33 ≈ 53 students (of the 67 students who regularly exercise, 53 of them walk as their main form of exercise)

53.33/100 = 0.533

8/15 = 0.533 This proves that the fraction of teens surveyed who mainly exercise by walking is 8/15

User Luca Davanzo
by
7.8k points