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?

Respuesta :

Answer:

Therefore [tex]\frac{3}{16}[/tex] of female students are on the the track team.

Step-by-step explanation:

Let the number of female students be x

Given that, [tex]\frac12[/tex] of the female students participate in school athletic.

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

[tex]=x\times \frac12[/tex]

[tex]=\frac x2[/tex]

Of the females students  who participate in the school athletics, [tex]\frac38[/tex] are on the track team.

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

[tex]=\frac x2\times \frac 38[/tex]

[tex]=\frac{3x}{16}[/tex]

[tex]=\frac{3}{16} \times x[/tex]

[tex]=\frac{3}{16} \times \textrm{Number of female students}[/tex]

Therefore [tex]\frac{3}{16}[/tex] of female students are on the the track team.