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 = $\dfrac18$

Step-by-step explanation:

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

As per given,

Distance traveled on Saturday = $\dfrac58x$

Remaining distance = $x-\dfrac58 x$

$=\dfrac38x$

Distance traveled of Sunday = $\dfrac13$ of Remaining distance

= $\dfrac13\times\dfrac{3}{8}x$

= $\dfrac18 x$

The fraction of the total distance to her grandmother's house was traveled on Sunday = $\dfrac18$