57.1k views
21 votes
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?

User Wwadge
by
4.9k points

1 Answer

5 votes

Answer: 1 / 5 of the total distance

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

User Alvin Baena
by
4.2k points