Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Given
On Saturday, Molly's family traveled [tex]\frac{5}{8}[/tex] of the total distance
On Sunday, they traveled one-third of the remaining distance.
Suppose the total distance is x
Distance traveled on Saturday is [tex]\dfrac{5x}{8}[/tex]
Remaining distance is
[tex]x-\dfrac{5x}{8}=\dfrac{3x}{8}[/tex]
On Sunday, they travel
[tex]\dfrac{1}{3}\times \dfrac{3x}{8}=\dfrac{x}{8}[/tex]
fraction of total distance traveled on Sunday is [tex]\dfrac{1}{8}[/tex]