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)
Responses
1 7/15
8/15
6/8
3/4
To find the fraction of teenagers who mainly exercise by walking, we need to multiply the fractions representing the proportions of teenagers who got regular exercise and whose main form of exercise is walking.
The fraction of teenagers who got regular exercise is ⅔.
⅘ of those teenagers said that walking was their main form of exercise.
To find ⅘ of ⅔, we multiply these fractions.
⅘ * ⅔ = (8/10) * (2/3) = 16/30
Simplifying the fraction, we get:
16/30 = 8/15
So, 8/15 of the teenagers mainly exercise by walking. Therefore, the answer is 8/15.
To find the fraction of teenagers who mainly exercise by walking, we need to find the fraction of those who responded that they get regular exercise and also said that walking was their main form of exercise.
We are given that ⅔ of the teenagers responded that they get regular exercise. So, out of every 3 teenagers, 2 of them get regular exercise.
Out of these 2 teenagers who get regular exercise, ⅘ of them said that walking was their main form of exercise. This means that 4 out of 5 of the teenagers who get regular exercise mainly exercise by walking.
So, the fraction of teenagers who mainly exercise by walking is 4/5.
Therefore, the correct answer is 8/15.
To calculate the fraction of teenagers who mainly exercise by walking, let's break down the problem step-by-step:
Step 1: Determine the fraction of teenagers who reported getting regular exercise.
The given information states that ⅔ of the teenagers responded that they got regular exercise. Therefore, ⅔ can be written as 2/3.
Step 2: Determine the fraction of those who said they mainly exercise by walking.
The given information states that ⅘ of those who responded that they got regular exercise said that walking was their main form of exercise. Therefore, ⅘ can be written as 4/5.
Step 3: Multiply the fractions from step 1 and step 2.
To find the fraction that represents teenagers who mainly exercise by walking, multiply 2/3 by 4/5:
(2/3) * (4/5) = 8/15.
Step 4: Simplify the fraction, if necessary.
In this case, the fraction 8/15 is already in simplest form.
Therefore, the fraction of teenagers who mainly exercise by walking is 8/15.