Question

3/8 of the pets in the pet show are dogs. 2/3 of the dogs have long hair. What fraction of the pets are dogs with long hair?

Answer 1

2/3 of 3/8.

Whenever you see 'of,' it means to multiply.

2/3 x 3/8 = 6/24.

6/24 is simplified as 1/4.

Answer: 1/4.

Answer 2

Answer: The fraction of the pets that are dogs with long hairs is
`(1)/(4).`

Step-by-step explanation: Given that
`(3)/(8)` of the pets in the pet show are dogs and
`(2)/(3)` of the dogs have long hair.

We are to find the fraction of the pets that are dogs with long hairs.

Let x represents the total number of pets in the pet show.

So, the number of dogs in the pet show is

`n_d=(3)/(8)* x=(3x)/(8).`

Therefore, the number of dogs with long hairs in the pet show is

`n_(dh)=(2)/(3)*(3x)/(8)=(1)/(4)x.`

Thus, the fraction of the pets that are dogs with long hairs is
`(1)/(4).`