Question

Barry's family traveled 5 7 of the distance to his uncle's house on Saturday. They traveled 1 2 of the remaining distance on Sunday. What fraction of the total distance to his uncle's house was traveled on Sunday?

Answer 1

Answer:
`(1)/(7)`

Explanation:

Suppose total distance is
`x`

Distance traveled on Saturday is
`(5)/(7)` of total distance i.e.

`\Rightarrow (5)/(7)* x=(5x)/(7)`

Remaining distance is

`\Rightarrow x-(5x)/(7)=(2x)/(7)`

Distance traveled on Sunday is

`\Rightarrow (1)/(2)* (2x)/(7)=(x)/(7)`

Now, the fraction of the total distance traveled on Sunday is one-seventh

`\Rightarrow (1)/(7)`