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 $\dfrac{1}{4}.$

Step-by-step explanation:  Given that $\dfrac{3}{8}$ of the pets in the pet show are dogs and $\dfrac{2}{3}$ 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

$n_d=\dfrac{3}{8}\times x=\dfrac{3x}{8}.$

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

$n_{dh}=\dfrac{2}{3}\times\dfrac{3x}{8}=\dfrac{1}{4}x.$

Thus, the fraction of the pets that are dogs with long hairs is $\dfrac{1}{4}.$