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Fractions Word Problems

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Write your final answers using mixed numbers, proper fractions, or whole numbers, as appropriate. Decimal answers may not be used.

Example of a satisfactory answer:

Each rest stop lasts of an hour. How many hours will you need for the rest stops? Show your calculation. Express your answer as a mixed number in lowest terms.

1/6 hr X 8 rest stops = 1/6 X 8/1= 8/6 = 1 2/6 = 1 1/3 hours

So the time needed for rest stops is 1 1/3 hours

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9. Your plan is to get a good night's rest at a motel just off of the highway. That way, you will only be adding a couple of miles to your trip. Each overnight stay will last for 12 hours and will include your evening and morning meals. How many hours will be spent on overnight stops? Show your calculation.

10. Find the total travel time, in hours, to Florida. Use your answers to questions 6, 8, and 9 to calculate this. Show your calculation. Express your answer as a mixed number in lowest terms.

11. You will need the same amount of time to return to Boston. So, calculate the total travel time for the trip. Show your calculation. Express your answer as a mixed number in lowest terms.

12. Since your vacation is 2 weeks (also known as 14 days) long, calculate how many hours you will have to spend in Florida. Show your calculation. Express your answer as a mixed number in lowest terms.

13. How many full days will you be able to spend in Orlando, Florida? Show your calculation. Explain how you determined the number of full days.

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This is #6

6. OK. Let's see how much driving and non-driving time there is so far. Add your answers to questions 1, 3, and 5. Show your calculation. Express your answer as a mixed number in lowest terms.

23 1/3 hours + 2 1/3 hours + 4/5 hours
= 23 5/15 hours + 2 5/15 hours + 12/15 hours
= 25 22/15 hours
= 26 7/15 hours

This is #8

8. Now we need to factor in lunch. Each lunch break will be ¾ of an hour. How much time will be spent stopping for lunch(es). Show your calculation. Express your answer as a mixed number in lowest terms.

Let's assume you'll stop for one lunch for every full day of travel.

2 days x 1 lunch stop x 3/4 hour = 6/4 hours = 1 2/4 hours = 1 ½ hours

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Solution Preview

9. Your plan is to get a good night's rest at a motel just off of the highway. That way, you will only be adding a couple of miles to your trip. Each overnight stay will last for 12 hours and will include your evening and morning meals. How many hours will be spent on overnight stops? Show your calculation.

From question 8, I see that there are two full days of travel. That means that there will probably be two overnight stops (drive for one day, spend the night at a motel, drive for another day, spend the night at a motel, drive for less than a day to ...

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