At Georgia Connections Academy, 2/5

Question

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 GACA participate in eSports?(1 point)
Responses

1/10
1 tenth

1/5
1 fifth

2/9
2 ninths

2/3

Answer 1

To determine the fraction of the students at Georgia Connections Academy (GACA) who participate in eSports, we can follow these steps:

1. Find the fraction of students in a club: Given that \( \frac{2}{5} \) of the students are in a club.

2. Find the fraction of students in eSports: From the club members, \( \frac{1}{4} \) participate in eSports.

To find the fraction of the total students who participate in eSports, we multiply these two fractions:

\[ \text{Fraction of students in eSports} = \left(\frac{2}{5}\right) \times \left(\frac{1}{4}\right) \]

Calculating this,

\[ \frac{2}{5} \times \frac{1}{4} = \frac{2 \times 1}{5 \times 4} = \frac{2}{20} = \frac{1}{10} \]

Thus, the fraction of the students at GACA who participate in eSports is \( \frac{1}{10} \).

So the correct response is:

1/10 (1 tenth).