Question

1/2 of the female students participate in school athletics. Of the females students who participate in the school athletics, 3/8 are om the track team. What fraction of the female students are on the track team?

Answer 1

Therefore
`(3)/(16)` of female students are on the the track team.

Explanation:

Let the number of female students be x

Given that,
`\frac12` of the female students participate in school athletic.

Then, the number female students who participate in school athletic is

`=x* \frac12`

`=\frac x2`

Of the females students who participate in the school athletics,
`\frac38` are on the track team.

Then, the number female students who are on the track team is

`=\frac x2* \frac 38`

`=(3x)/(16)`

`=(3)/(16) * x`

`=(3)/(16) * \textrm{Number of female students}`

Therefore
`(3)/(16)` of female students are on the the track team.