For this case, we want to know what fraction of the Burns High School girls play volleyball. For this, we make a rule of three based on the female students
[tex]\frac {3} {5} ---------> 1\\\frac {1} {3} ---------> x[/tex]
Where "x" represents the fraction of women who play volleyball
[tex]x = \frac {\frac {1} {3} * 1} {\frac {3} {5}}\\x = \frac {5} {9}[/tex]
Thus,[tex]\frac {5} {9}[/tex]are women who play volleyball.
Answer:
[tex]\frac {5} {9}[/tex]