Question

1/2 of the people who live in the neighborhood

volunteer at the community garden. 4/5 of those
volunteers are teenagers. What fraction of the
volunteers are teenagers?

Answer 1

To find the fraction of volunteers who are teenagers, we multiply 1/2 by 4/5, which gives us 4/10. This fraction simplifies to 2/5, meaning that 40% of the volunteers are teenagers.

Step-by-step explanation:

The student is asking to find what fraction of the people in a neighborhood who volunteer at the community garden are teenagers. Given that 1/2 of the people volunteer at the community garden, and 4/5 of these volunteers are teenagers, you find the fraction of volunteers who are teenagers by multiplying the two fractions together.

To multiply fractions:

1. 1/2 of the people are volunteers.
2. 4/5 of these volunteers are teenagers.
3. Multiply these two fractions: (1/2) × (4/5)
4. The final fraction is (1 × 4) / (2 × 5), which is 4/10 after performing the multiplication.
5. 4/10 can be simplified to 2/5, so 2/5 of the volunteers are teenagers.

This means that 40% of the people who volunteer at the community garden are teenagers since 2/5 is equivalent to 40%.