$\frac{2}{5}$ of the students of a class of 60 students like mangoes, whereas $\frac{1}{3}$ of them like cherry and rest like orange. Find the fraction of total number of students like oranges.

Given: $\frac{2}{5}$ of the students of a class of 60 students like mangoes, whereas $\frac{1}{3}$ of them like cherry and rest like orange.

To find: We have to find a fraction of the total number of students like oranges.

Solution: Total number of students = 60

Number of students like mangoes = $60\ \times \ \frac{2}{5} \ =\ 12\ \times \ 2\ =\ 24$

Number of students like cherry = $60\ \times \ \frac{1}{3} \ =\ 20$

So the number of students like oranges = Total no. of students - No. of students like mangoes - No.r of students like cherry

So the number of students like oranges = $60 - 24 - 20$

So the number of students like oranges = $60 - 44$

So the number of students like oranges = 16

Fraction number of students like oranges = $\frac{16}{60} \ =\ \frac{4}{15}$

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