Answer: [tex]\dfrac{3}{8}[/tex]
Step-by-step explanation:
Given
Julio traveled [tex]\frac{3}{8}[/tex] of distance to his aunt's house on Saturday
they have traveled [tex]\frac{3}{5}[/tex] of the remaining distance on Sunday
suppose the total distance is [tex]x[/tex]
Distance traveled on Saturday
[tex]\dfrac{3x}{8}[/tex]
Remaining distance is
[tex]x-\dfrac{3x}{8}=\dfrac{5x}{8}[/tex]
Distance traveled on Sunday
[tex]\Rightarrow \dfrac{3}{5}\times \dfrac{5x}{8}=\dfrac{3x}{8}[/tex]
The fraction of distance traveled on Sunday is
[tex]\Rightarrow \dfrac{\frac{3x}{8}}{x}=\dfrac{3}{8}[/tex]