Question

Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Answer 1

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday =
`\frac18`

Explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday =
`\frac58x`

Remaining distance =
`x-\frac58 x`

`=\frac38x`

Distance traveled of Sunday =
`\frac13` of Remaining distance

=
`\frac13*(3)/(8)x`

=
`\frac18 x`

The fraction of the total distance to her grandmother's house was traveled on Sunday =
`\frac18`