Question

you work in the mayors office and you are providing the mayor with a list of talking points for a speech. in your town, 1/3 of the residents live in rented dwellings. of those who live in rented dwellings, 1/2 are families with school - age children. on your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school - age children?

1/3

1/5

1/6

2/5

5/6

Explanation:

Step1: Identify the given fractions

Let the total number of residents be considered as 1. The fraction of residents in rented dwellings is $\frac{1}{3}$, and the fraction of those in rented dwellings who are families with school - age children is $\frac{1}{2}$ of the rented - dwelling residents.

Step2: Calculate the required fraction

We use multiplication of fractions. The fraction of residents living in both rented dwellings and having school - age children is $\frac{1}{3}\times\frac{1}{2}$.
$\frac{1}{3}\times\frac{1}{2}=\frac{1\times1}{3\times2}=\frac{1}{6}$

Answer:

C. $\frac{1}{6}$