Question

In a gym class, 1/8 of students play basketball and 5/12 play volleyball. The remaining students play soccer. What fraction of students play soccer?

Answer 1

11/24 is your answer

Answer 2

The fraction of students who play soccer is 11/24.

Explanation:

Let x be the total number of students in the gym class,

Since, 1/8 of students play basketball,

Thus, the number of students who play baseball = 1/8 of x

`=(x)/(8)`

Also, 5/12 play volleyball,

The number of students who play volleyball = 5/12 of x

`=(5x)/(12)`

Given, students other than playing baseball and volleyball play soccer.

So, the total number of students who play soccer = Total students - ( the students who play baseball + students who play volleyball )

`=x-((x)/(8)+(5x)/(12))`

`=x-((3x)/(24)+(10x)/(24))`

`=x-(3x+10x)/(24)`

`= x - (13x)/(24)`

`=(24x-13x)/(24)`

`=(11x)/(24)`

Hence, the fraction of students who play soccer = Number of students who play soccer / Total students

`=(11x/24)/(x)`

`=(11)/(24)`