Question

2/3 of the children in a group have a pet dog. Of those who have a dog, 3/4 have a cat as well. What fraction of the children in the group have a dog and a cat?

Answer 1

The fraction of the children in the group that contains both dog and a cat is
`(17)/(12)`

Explanation:

The fraction of the children in the group that contains both dog and a cat is presented below:

= Pet dog + cat

`= (2)/(3) + (3)/(4)\\\\= (8 + 9)/(12) \\\\= (17)/(12)`

Hence, the fraction of the children in the group that contains both dog and a cat is
`(17)/(12)`