# Word Problems Requiring Addition/Multiplication of Fractions

As a bonus, your boss has given you an extra 2 weeks of vacation to travel to Orlando, Florida and spend some time seeing the attractions. She is even letting you use a company car. However, you need to follow some travel guidelines to be able to use the car for free. This is going to take some planning.

Here is an overview of what you will calculate:

1. How much of the vacation will be spent traveling to and from Orlando?

2. How many days will you have in Orlando to see the sights?

Objectives of this Project:

You will be able to divide whole numbers.

You will be able to multiply fractions and mixed numbers.

You will be able to add and subtract fractions and mixed numbers.

Write your final answers using mixed numbers, proper fractions, or whole numbers, as appropriate.

Decimal answers may not be used.

e) Example of a satisfactory answer:

Each rest stop lasts 1/6 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.

Example Answer:

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.

1. Actual driving time. You will average 60 miles per hour. How many hours of driving will it take to travel the 1,400 miles. Show your calculation. Express your answer as a mixed number.

2. Your boss wants you stay awake and bring the company car back in one piece. So, you need to take a rest stop every 100 miles. How many rest stops will you need to take? Show your calculation.

3. Each rest stop lasts 1/6 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.

4. You will need to stop for gasoline every 325 miles. How many times will you need to stop for gas? Show your calculation. (Assume you begin the trip with a full tank of gas.)

5. Each gasoline stop takes about 1/5 hour. Multiply your answer to question 4 times 1/5 to find out how much time you will need for gasoline stops. Show your calculation. Express your answer as a mixed number in lowest terms.

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.

7. It is not safe to drive when you are tired. Therefore, you have decided that you will stop for the day after 12 hours on the road. Looking at your answer to #6, estimate how many full days you'll be traveling to Florida.

8. Now we need to factor in lunch. Each lunch break will be 3/4 hour. How much time will be spent stopping for lunch(es). Show your calculation. Express your answer as a mixed number in lowest terms.

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#### Solution Summary

The solving of word problems including fractions is discussed in detail. Conversion to mixed numbers in lowest terms is also discussed.