Question

Andre is working from home to a festival that is 1 5/8 km away. He takes a quick rest after walking 1/3 km what fraction of the trip has Andre completed

Answer 1

`(4)/(15)`

Explanation:

We know that the total distance is

`1(5)/(8)km` which is standard fraction would be
`(13)/(8)km`.

So, Andre walks
`(1)/(3)km`, that means he needs to walk the following distance to get to the festival

`(13)/(8)-(1)/(3)=(39-8)/(24)=(31)/(24)km`

Now, to find the fraction of the tripe that represents the distance he already completed, we have to divide

`(1)/(3) / (13)/(8)=(1)/(3) * (8)/(13)=(8)/(30)=(4)/(15)`

Therefore, we completed a
`(4)/(15)` part of the total distance.

Answer 2

The fraction of trip completed by Andre is
`(31)/(24)` km

Explanation:

Given as :

The Total distance between the home to a festival = 1
`(5)/(8)` km

I.e The total distance between the home to a festival =
`(13)/(8)` km

The distance cover by Andre before taking rest =
`(1)/(3)` 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 =
`(13)/(8)` km -
`(1)/(3)` km

or, x =
`(39 - 8)/(24)` km

∴ x =
`(31)/(24)` km

Or, The fraction of trip completed by Andre = x =
`(31)/(24)` km

Hence , The fraction of trip completed by Andre is
`(31)/(24)` km Answer