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)

1 answer

To find the fraction of teenagers who mainly exercise by walking, we can break down the problem into two parts.

  1. Fraction of teenagers who get regular exercise:
    \( \frac{2}{3} \)

  2. Fraction of those who get regular exercise that say walking is their main form of exercise:
    \( \frac{4}{5} \)

Next, we multiply these two fractions to find the fraction of the total teenagers who mainly exercise by walking:

\[ \text{Fraction who mainly walk} = \left( \frac{2}{3} \right) \times \left( \frac{4}{5} \right) \]

Calculating this:

\[ \text{Fraction who mainly walk} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15} \]

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