At Alabama center college university, 2/5 of the students are in a club. Of the students in a club, 1/4 participate in esports club. What fraction of the students at ACCU participate in esports?

1 answer

To find the fraction of students at ACCU who participate in esports, we need to calculate the fraction of students who are in the esports club.

Let's break down the problem step by step:

1) We know that 2/5 of the students are in a club, so if we have a total of x students, the number of students in a club would be (2/5)x.

2) Now, out of the students in a club, 1/4 participate in the esports club. Therefore, the number of students in the esports club would be (1/4)(2/5)x.

3) Finally, to find the fraction of students who participate in esports, we need to divide the number of students in the esports club by the total number of students, which is x.

Putting it all together, the fraction of students at ACCU who participate in esports is:
[(1/4)(2/5)x] / x

Simplifying this equation, we get:
(2/20)x / x
= 2/20
= 1/10

Therefore, the fraction of students at ACCU who participate in esports is 1/10.