Question

Julio's family traveled 3 8 of the distance to his aunt's house on Saturday. They traveled 3 5 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?

Answer 1

Answer:
`(3)/(8)`

Explanation:

Given

Julio traveled
`(3)/(8)` of distance to his aunt's house on Saturday

they have traveled
`(3)/(5)` of the remaining distance on Sunday

suppose the total distance is
`x`

Distance traveled on Saturday

`(3x)/(8)`

Remaining distance is

`x-(3x)/(8)=(5x)/(8)`

Distance traveled on Sunday

`\Rightarrow (3)/(5)* (5x)/(8)=(3x)/(8)`

The fraction of distance traveled on Sunday is

`\Rightarrow ((3x)/(8))/(x)=(3)/(8)`