Answer:
The fraction of male student who play sport is
Step-by-step explanation:
Given as :
Out of the total number of students , the fraction of male =
of total number of students
Let the total number of students = x
So, The fraction of male student =
of x
I.e The fraction of male student = ![\frac{2 x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%20x%7D%7B3%7D)
Again
The number of students who play sports =
of total number of students
Or, The number of students who play sports =
of x
Or, The number of students who play sports = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
Let The total number of male student who play sport = y
So, According to question
of y = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
I.e
× y = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
or, y = ![\frac{\frac{x}{2}}{\frac{2 x}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B%5Cfrac%7B2%20x%7D%7B3%7D%7D)
∴ y = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
So, The total number of male student who play sport = y = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Hence ,The fraction of male student who play sport is
Answer