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32 votes
32 votes
It took Julian 5 4/ 5 hours to get from Pittsburgh to Baltimore. Then it took Julian another 2 2/3 hours to get from Baltimore to Denver. How long did Julian travel in total?

User DroidHeaven
by
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1 Answer

17 votes
17 votes

Answer:

8 7/15 hours or 8 hours 28 minutes

Explanation:

Add 5 4/5 to 2 2/3 to get total time traveled

One way(but not the only way is to convert all the numbers to minutes, add them then convert back to hours)

There are 60 minutes to an hour

  • Convert 5 4/5 hours to minutes:
    So 5 hours = 5 x 60 = 300 minutes
    4/5 hour = 4/5 x 60 = 48 minutes
    5 4/5 hours = 300 + 48 = 348 minutes
  • Convert 2 2/3 hours to minutes
    2 hours = 2 x 60 = 120 minutes
    2/3 hour = 2/3 x 60 = 40 minutes
    2 2/3 hours = 120 + 40 = 160 minutes

  • Add the two times to get total traveled in minutes:
    348 + 240 = 508 minutes
  • Convert 508 minutes back to hours:
    Find quotient and remainder when dividing 588 by 60
    60 goes into 508 8 times => 60 x 8 = 480 so 8 is quotient
    Remainder = 508 - 480 = 28
  • So total travel time is 8 hours and 28 minutes, which if you want as a fraction is 8 28/60 hours
    28/60 = 7/15
    So total travel time = 8 7/15 though I prefer hours minutes

  • Answer:
    8 7/15 hours or 8 hours 28 minutes
User Raktim Biswas
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3.0k points