Question

A survey shows that 2/3 of all homeowners have a pet. Of those, 3/4 have either a dog or a cat. Of the homeowners, what fraction has either a dog or a cat ?

Answer 1

Of the homeowners, half have either a dog or a cat.

Explanation:

Since 2/3 of all homeowners have a pet, and 3/4 of those have dogs or cats, we simply need to multiply 2/3 and 3/4 to see what fraction of all homeowners have a dog or a cat.

2/3 x 3/4 = 6/12

6/12 = 1/2

We can double check this. If there are 60 homeowners, and 2/3 have a pet, that would mean that 40 of those homeowners have a pet.

If 3/4 of the 40 homeowners have either a dog or a cat, that would equate to 30 homeowners having either a dog or a cat.

Since 30 is half of 60, this would mean that 1/2 of the 60 homeowners have a dog or cat!

Hope this answer helped you!