Question

Of the animals at the shelter, 5/8 are cats. Of the cats 2/3 are kittens. What fraction of the animals at the shelter are kittens?

Answer 1

16/24
Simplified :
4/6

Answer 2

Fraction of animals that are kittens at the shelter is
`(5x)/(12)` where “x” represents the number of animals.

Solution:

Let the number of animals be ‘x’. We have to find out what fraction of animals at the shelter are kittens.

It is given that of the animals, 5/8 are cats which means the number of cats =
`(5x)/(8)`

Now it is given that number of kittens are 2/3 of the cats

Number of cats =
`(5x)/(8)`

Number of kittens = 2/3 of
`(5x)/(8)`

Number of kittens = 2/3
`*`
`(5x)/(8)`

Number of kittens =
`(10x)/(24)` =
`(5x)/(12)`

Thus fraction of animals that are kittens at the shelter is
`(5x)/(12)` where “x” represents the number of animals.