At Georgia Connections Academy, 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 GACA participate in eSports?(1 point)
Responses

1/10

1/5

2/9

2/3

1 answer

To find the fraction of students at Georgia Connections Academy (GACA) who participate in eSports, we can use the information given.

  1. Fraction of students in a club: \( \frac{2}{5} \)
  2. Fraction of club members in eSports: \( \frac{1}{4} \)

To find the fraction of the total student body that participates in eSports, we multiply these two fractions:

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

Calculating this gives:

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

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

The answer is \( \frac{1}{10} \).