Question

At the high school, (2)/(3) of all the students play a team sport. (1)/(4) of these students are on a football team. What fraction of all the high school students are on a football team?

Answer 1

To find the fraction of high school students on a football team, we need to multiply the fractions representing the proportion of students who play team sports and the proportion of team sport players on a football team. The resulting fraction is 1/6.

Step-by-step explanation:

To find the fraction of high school students on a football team, we first need to find the fraction of students who play team sports. Given that (2/3) of all students play a team sport, we can say that 2 out of every 3 students play a sport.

Now, we need to find the fraction of students on a football team.

Given that (1/4) of team sport players are on a football team, we can say that 1 out of every 4 team sport players are on a football team.

So, to find the fraction of all high school students on a football team, we multiply the fractions: (2/3) * (1/4) = 2/12 = 1/6.

Therefore, the fraction of all high school students on a football team is 1/6.