Respuesta :
Answer:
[tex]\frac{5}{12}[/tex] fraction of the animals at the shelter are kitten's
Solution:
Given that
Animals at the shelter, [tex]\frac{5}{8}[/tex] are cats.
Of the cats, [tex]\frac{2}{3}[/tex] are kittens.
Need to determine the fraction of kittens from all animals
Let’s assume total number of animals at the shelter = x
So number of cats = [tex]\frac{5}{8}[/tex] of total animals at shelter [tex]\frac{5}{8}\times x=\frac{5 x}{8}[/tex]
Number of kittens = [tex]\frac{2}{3}[/tex] of number of cats
[tex]\frac{2}{3} \text { of } \frac{5 x}{8}=\frac{2}{3} \times \frac{5 x}{8}=\frac{5 x}{12}[/tex]
As "x" represents total number of animals
so number of kittens = ([tex]\frac{5}{12}[/tex] [tex]\times[/tex] number of animals at shelter.
Hence required fraction is [tex]\frac{5}{12}[/tex] that means number of kittens are [tex]\frac{5}{12}[/tex] of animals at the shelter.
