Answer: [tex]\dfrac{3}{8}[/tex]
Step-by-step explanation:
Let x be the weight of a cat , the the weight of the dog will be 3x
Given : Jack has 5 cats and 1 dog.
The weight of 5 cats will be 5x.
The total weight of the pets = [tex]5x+3x=8x[/tex]
Now, the fraction of the total weight of all 6 animals is dog’s weight :-
[tex]=\dfrac{\text{Dog's weight}}{\text{Total weight}}\\\\=\dfrac{3x}{8x}\\\\ =\dfrac{3}{8}[/tex]
Hence, the fraction of the total weight of all 6 animals is dog’s weight= [tex]\dfrac{3}{8}[/tex]