Question

Two-thirds of the students in Hannah's homeroom plan to do some volunteering this summer. Of these students,3/5 plan to volunteer at the community center. What fraction of students in Hannah's homeroom plan to volunteer at the community center this summer

Answer 1

2/5 of the students

Explanation:

Let the total number of students be x. Two-Thirds of the students plan to do some volunteering. Two-Thirds in fraction can be written as 2/3. So the portion of the students which plan to do some volunteering is:

`(2x)/(3)`

From these students, 3/5 plan to volunteer at community center. So the students who plan to volunteer at community center will be:

`(2x)/(3) * (3)/(5)\\\\  = (2x)/(5)`

This means, among x students, 2/5 of the students plan to volunteer at the community center this summer.