Question

Half for Mr. Carson’s students play a sport. Of the students, 2/3 or males. My Half of Mr. Carson’s students play a sport. Of the students, 2/3 or males. What fraction of the class is ma what fraction of the class is male and plays a sport ?

Answer 1

The fraction of male student who play sport is
`(3)/(4)`

Explanation:

Given as :

Out of the total number of students , the fraction of male =
`(2)/(3)` of total number of students

Let the total number of students = x

So, The fraction of male student =
`(2)/(3)` of x

I.e The fraction of male student =
`(2 x)/(3)`

Again

The number of students who play sports =
`(1)/(2)` of total number of students

Or, The number of students who play sports =
`(1)/(2)` of x

Or, The number of students who play sports =
`(x)/(2)`

Let The total number of male student who play sport = y

So, According to question

`(2 x)/(3)` of y =
`(x)/(2)`

I.e
`(2 x)/(3)` × y =
`(x)/(2)`

or, y =
`((x)/(2))/((2 x)/(3))`

∴ y =
`(3)/(4)`

So, The total number of male student who play sport = y =
`(3)/(4)`

Hence ,The fraction of male student who play sport is
`(3)/(4)` Answer