If we have that one third of the students play sports, and two fifth of the students who play sports are girls, to find the fraction of all students that are girls and play sports, we just need to multiply both fractions, because the subset of girls who play sports in relation to the total number of students that play sports is inside the set of total number of students that play sports in relation to the total number of students:
So the fraction of students that are girls who play sports is:
