Question

At Paul's Pet Palace, 3/16 of the animals are dogs and 5/24 of the animals are cats. What fraction of the animals are neither dogs nor cat?

Answer 1

You have that 3/16 of the animals are dogs and 5/24 of the animals are cat.

To determine the fraction of animals that are neither dogs nor cat, consider the following:

If 3/16 are dogs, then 13/16 are other animals, but from this fraction, 5/24 are cats. Then, the subtraction 13/16 - 5/24 results in the fraction of animals that are neither dogs nor cat:

`(13)/(16)-(5)/(24)=(312-80)/(384)=(232)/(384)`

simplify the last fraction:

`(232)/(384)=(116)/(192)=(58)/(96)=(29)/(48)`

Hence, 29/48 of the animal are neither dogs nor cats