In Homestead, 2/5 of the households own pets.

Of the households with pets, 1/3
have cats.

What fraction of the households in Homestead own cats?

(1/3) * (2/5) = ?

2/15

2/5 x 1/3= 2/15

2/5×1/3=2/15

2/5 of 1/3

6 13

To find the fraction of households in Homestead that own cats, we need to multiply the fraction of households that own pets by the fraction of households with pets that have cats.

First, let's find the fraction of households in Homestead that own pets. We are given that 2/5 of the households own pets. So, the fraction of households that own pets is 2/5.

Next, let's find the fraction of households with pets that have cats. We are given that 1/3 of the households with pets have cats. So, the fraction of households with pets that have cats is 1/3.

To find the overall fraction of households in Homestead that own cats, we need to multiply these two fractions: (2/5) * (1/3).

To multiply fractions, we multiply the numerators (top numbers) together, and then multiply the denominators (bottom numbers) together. So, (2/5) * (1/3) can be calculated as:
(2 * 1) / (5 * 3) = 2/15.

Therefore, the fraction of households in Homestead that own cats is 2/15.