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

Answer:

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

Step-by-step 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

$=\frac{x}{8}$

Also, 5/12 play volleyball,

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

$=\frac{5x}{12}$

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 )

$=x-(\frac{x}{8}+\frac{5x}{12})$

$=x-(\frac{3x}{24}+\frac{10x}{24})$

$=x-\frac{3x+10x}{24}$

$= x - \frac{13x}{24}$

$=\frac{24x-13x}{24}$

$=\frac{11x}{24}$

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

$=\frac{11x/24}{x}$

$=\frac{11}{24}$

Answer 2

11/24 is your answer