Answer:
The fraction of trip completed by Andre is [tex]\frac{31}{24}[/tex] km
Step-by-step explanation:
Given as :
The Total distance between the home to a festival = 1 [tex]\frac{5}{8}[/tex] km
I.e The total distance between the home to a festival = [tex]\frac{13}{8}[/tex] km
The distance cover by Andre before taking rest = [tex]\frac{1}{3}[/tex] km
Let The fraction of trip completed by Andre = x km
So, According to question
The fraction of trip completed by Andre = The Total distance between the home to a festival - The distance cover by Andre before taking rest
or, x = [tex]\frac{13}{8}[/tex] km - [tex]\frac{1}{3}[/tex] km
or, x = [tex]\frac{39 - 8}{24}[/tex] km
∴ x = [tex]\frac{31}{24}[/tex] km
Or, The fraction of trip completed by Andre = x = [tex]\frac{31}{24}[/tex] km
Hence , The fraction of trip completed by Andre is [tex]\frac{31}{24}[/tex] km Answer
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
We know that the total distance is
[tex]1\frac{5}{8}km[/tex] which is standard fraction would be [tex]\frac{13}{8}km[/tex].
So, Andre walks [tex]\frac{1}{3}km[/tex], that means he needs to walk the following distance to get to the festival
[tex]\frac{13}{8}-\frac{1}{3}=\frac{39-8}{24}=\frac{31}{24}km[/tex]
Now, to find the fraction of the tripe that represents the distance he already completed, we have to divide
[tex]\frac{1}{3} \div \frac{13}{8}=\frac{1}{3} \times \frac{8}{13}=\frac{8}{30}=\frac{4}{15}[/tex]
Therefore, we completed a [tex]\frac{4}{15}[/tex] part of the total distance.
