Matt's family traveled 7 10 of the distance to his uncle's house on Saturday. They traveled 2 3 of the remaining distance on Sunday. What fraction of the total distance to his uncle's house was traveled on Sunday?

 1 / 5 of the total distance

Step-by-step explanation:

On Saturday, Matt's family travelled 7/10 of the total distance to his uncle's house.

This means that the distance left is:

= 1 - 7/10  (Fractions should add up to one with one representing the total distance here)

= 3/10

The remaining distance is 3/10 and out of this distance they travelled 2/3 on Sunday.

The distance they traveled on Sunday was:

= Remaining distance * Proportion travelled

= 3/10 * 2/3

= 6/30

= 1 / 5 of the total distance