Question

2/5 of house household own pets . Of the household pets 1/3 have cats. What is the fraction of the household own cats

Answer 1

2/5 have pets, and 1/3 of the 2/5 have cats.

1/3 * 2/5 = 2/15

2/15 of the households have cats.

Answer 2

Fraction of household owning pets =
`(2)/(5)`

`Fraction \; of \; household \; owning \; cats \; \\\\=\; (1)/(3) \; of\; Fraction \; of\; household\; owning \; pets \\\\=(1)/(3) *(2)/(5) \\ \\Multiply \; numerator\; with\; numerator\; and\; denominator\; with\; denominator\\\\= (1 * 2)/(3 * 5)= (2)/(15)`

Conclusion:

The fraction of the household own cats is two-fifteenth