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

Respuesta :

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]