In a survey of teenagers, 2/3

Question

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)

Answer 1

To find the fraction of teenagers who mainly exercise by walking, we can follow these steps:

1. Let \( T \) be the total number of teenagers surveyed.

2. According to the survey, \( \frac{2}{3} \) of the teenagers reported getting regular exercise. So the number of teenagers who exercise regularly is: \[ \frac{2}{3} T \]

3. Of those who exercise, \( \frac{4}{5} \) said that walking was their main form of exercise. Therefore, the number of teenagers who mainly exercise by walking is: \[ \frac{4}{5} \times \frac{2}{3} T \]

4. Now, we calculate this product: \[ \frac{4}{5} \times \frac{2}{3} = \frac{4 \times 2}{5 \times 3} = \frac{8}{15} \]

Thus, the fraction of the teenagers who mainly exercise by walking is \( \frac{8}{15} \).