Final answer:
One-eighth of the Grade 8 students are girls who play soccer, which is calculated by multiplying one-half (the percentage of students playing soccer) by one-quarter (the percentage of those players who are girls).
Step-by-step explanation:
The question is asking for the fraction of Grade 8 students who are girls who play on the soccer team. We are told that one-half of the Grade 8 students play on a soccer team and that one-quarter of those who play on the soccer team are girls.
To find the fraction of all Grade 8 students who are girls playing soccer, we need to multiply these two fractions together.
½ (one-half of the students play soccer) × ¼ (one-quarter of the soccer players are girls) = ½ × ¼ = ⅔ (one-eighth of the Grade 8 students are girls who play soccer).
Therefore, the fraction of the Grade 8 students who are girls playing on the soccer team is one-eighth.