maths

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1/10 of the students in a class are female. 4/7 of the female students play chess. Calculate the fraction of the class who are female chess players. Give your answer in its simplest form.

Female students: We know that 1/10 of the students are female. So, if we have a total of 10 students, 1 of them is female.

Female chess players: Out of the female students, 4/7 play chess. So, if we consider the female student group, 4 out of 7 play chess.

Now let’s find the fraction of the class who are female chess players:

Total students = 10 (since 1/10 are female)

Female chess players = (4/7) * (1/10) = 4/70 = 2/35