Question

In the bleachers at the basketball game,1/4 if the fans are adult men,and 5/12 are adult women. What fraction of the fans are adults? What fraction of the fans are children?

Answer 1

The fraction of the adult fans is
`(2)/(3)` and the fraction of the children fans is
`(1)/(3).`

Explanation:

Given:

In the bleachers at the basketball game,1/4 if the fans are adult men,and 5/12 are adult women.

Now, to find the fraction of adult fans and the fraction of children fans.

Fraction of fans who are adult men =
`(1)/(4)`

Fraction of fans who are adult women =
`(5)/(12)`

So, to get the fraction of adult fans add fraction of fans who are adult men and fraction of fans who are adult women:

`(1)/(4) +(5)/(12)`

`=(3* 1+5* 1)/(12)`

`=(3+5)/(12)`

`=(8)/(12)`

On simplifying:

`=(2)/(3)`

The fraction of adult fans =
`(2)/(3).`

Now, to get the fraction of children fans:

Assuming the whole fraction be 1.

We subtract the fraction of adult fans from 1:

`1-(2)/(3)`

`=(3-2)/(3)`

`=(1)/(3) .`

The fraction of children fans =
`(1)/(3).`

Therefore, the fraction of the adult fans is
`(2)/(3)` and the fraction of the children fans is
`(1)/(3).`