Question

An aquarium has exhibits that feature different marine animals. 5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What fraction of the staff is female?

Answer 1

The fraction of the staff is female is
`(3)/(8)`

Explanation:

Given that an aquarium has exhibits that feature different marine animals.

Also given that
`(5)/(8)` of the staff are male.

`(5)/(12)` of the staff works part time at the aquarium

To find the fraction of the staff is female:

Let the entire staff is represented by the fraction
`(8)/(8)`.

The fraction of the staff is female is given by

`(8)/(8)-(5)/(8)`

`=(8-5)/(8)`

`=(3)/(8)`

∴ The fraction of the staff is female is
`(3)/(8)`