One third of the students at the STEM Academy play sports. Two fifth of the students who play sports are girls. What fraction of all students are girls who play sports? Use numbers and words to explain your answer.

2/15

Step-by-step explanation:

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:

(1/3) * (2/5) = 2/15

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step-by-step explanation:

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