In a class, 1/4 of the male students is equal to 3/5 of the female students. What fraction of the students in the room is female?

Question: In a class, 1/4 of the male students is equal to 3/5 of the female students. What fraction of the students in the room is female?

Solution:
Let the number of male students be m
And the number of female students be f.

Given that,
(1/4)​ of the male students = (3/5)​ of the female students
⇒ (1/4)m = (3/5)f
∴ m = (12/5)f ; [Cross-multiply]

∴ Total students = m + f = (12/5)f + f
= (12f + 5f)/5
= 17f/5

∴ Fraction of students that are female = f/(m + f) = f/(17f/5) = 5/17

So the fraction of students that are female is 5/17.