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

Answer 1

To find the fraction of the teenagers who mainly exercise by walking, we start with the information given in the problem.

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

2. Two-thirds of these teenagers reported that they get regular exercise. Therefore, the number of teenagers who get regular exercise is: \[ \frac{2}{3}T \]

3. Out of those teenagers who get regular exercise, four-fifths indicated that walking is their main form of exercise. Therefore, the number of teenagers who mainly exercise by walking is: \[ \frac{4}{5} \times \frac{2}{3}T = \frac{4 \times 2}{5 \times 3}T = \frac{8}{15}T \]

This means that \( \frac{8}{15}T \) is the number of teenagers who mainly exercise by walking.

Now, to express this as a fraction of the total number of teenagers \( T \): \[ \frac{\frac{8}{15}T}{T} = \frac{8}{15} \]

Thus, the fraction of the teenagers who mainly exercise by walking is: \[ \boxed{\frac{8}{15}} \]