Fractions
WORD PROBLEMS
Now we're going to try something completely different.
Below is a list of word problems.
Under each of the problems is a list of options for you to select from.
Choose what you think is the correct answer, and you'll be told whether or not your selection was correct.
If you need help setting up the problem, you can click on the "hint" button
Next to each problem is a link taking you to the section that problem uses. Click on the link if you want to go back to review.
Unlike the exercises, prior to now, you'll only have one chance to choose the correct answer

Ready? here goes

Problem 1
Two pieces of pipe are welded together. One piece is 1 1/2 inches long, the other is 3/8 inches long. How long is the joined pipe? [Addition]

If you're having trouble setting up the problem click here for a hint


Choices
1 7/8 inches
7/8 inches
1 1/8 inches
1 3/4 inches
"None of the above"

Problem 2
You ran 1 3/4 miles this morning. In the evening you ran 2 3/5 miles.
How far did you run today? [Addition]

If you're having trouble setting up the problem click here for a hint


Choices
3 7/10 miles
3 7/20 miles
4 7/20 miles
4 7/10 miles
None of the above

Problem 3
In chemistry you measured 3/14 liters of one liquid and 1/2 liters of another liquid
You then combined them in the same test tube
What is the the total amount in the test tube?[Addition]

If you're having trouble setting up the problem click here for a hint


Choices
10/14 liters
2/7 liters
1/4 liters
5/7 liters
None of the above

Problem 4
You have a total of 5 cups of flour. You used 1 3/4 cups to make a cake with. How much flour do you have left? [Subtraction]

If you're having trouble setting up the problem click here for a hint


Choices
4 1/4
3 1/4
4 3/4
3 3/4
None of the above

Problem 5
On Monday it took you 1 3/4 hours to get to work. Coming home, you decided to try a shortcut and you cut your time down to 5/6 of an hour.
How much time did you save? [Subtraction]

If you're having trouble setting up the problem click here for a hint


Choices
11/12 of an hour
5/6 of an hour
11/24 of an hour
22/24 of an hour
None of the above

Problem 6
You and a friend are jogging together. You jogged 7/8 of a mile. Your friend jogged 3/4 of a mile. Which of the following statements is true?[Subtraction and Comparing fractions]

If you're having trouble setting up the problem click here for a hint


Choices
Your friend ran 1/8 of a mile more than you
You ran 3/8 of a mile more than your friend
You ran 1/8 of a mile more than your friend
Your friend ran 3/8 of a mile more than you
None of the above responses are true

Problem 7
You bought 3 3/4 lb. of bologna. You used approximate 1/2 lb. to make your sandwich and your son used approximately 3/8 lb. to make his sandwich Approximately how much meat is left?[Addition and Subtraction]

If you're having trouble setting up the problem click here for a hint


Choices
2 5/8 lb.
3 5/8 lb.
2 3/8 lb.
3 3/8 lb.
None of the above

Problem 8
It takes you 2 1/5 hours to get to work and 1 3/5 hour to come home. You work five days each week At the end of the week, how much time do you spend commuting to and from work?[Addition and Multiplication]

If you're having trouble setting up the problem click here for a hint


Choices
19 hours
7 hours
10 3/5 hours
12 3/5 hours
None of the above

Problem 9
You were asked to prepare some cookies. Because you're cooking for a somewhat large group, but not too large, you decided to make 1 1/2 batches. The original recipe calls for 2 2/3 cups of flour.
Since you're planning to prepare 1 1/2 batches, how much flour will you need?[Multiplication]

If you're having trouble setting up the problem click here for a hint


Choices
1 2/3 cup
2 cups
3 1/3 cups
4 cups
None of the above

Problem 10
The way your employer calculates your leave time is:
You earn 1 1/3 days vacation every month
How much vacation time will you have after 9 months?[Multiplication]

If you're having trouble setting up the problem click here for a hint


Choices
10 days
9 2/3 days
11 1/3 days
11 days
None of the above

Problem 11
On the average your car gets 25 1/2 miles per gallon.
Approximately how many miles will you get from 10 1/3 gallons of gas?[Multiplication]

If you're having trouble setting up the problem click here for a hint


Choices
263 1/3 miles
263 1/2 miles
265 miles
260 2/3 miles
None of the above

Problem 12
You bought 3 3/4 lb. of ground beef, that you intend to divide into 5 sections. Approximately how much weight will each of the sections be?[Division]

If you're having trouble setting up the problem click here for a hint


Choices
3/5 lb.
1 3/4 lb.
2/5 lb.
3/4 lb.
None of the above

Problem 13
How many planks 2 1/2 ft. long can you get from a board that is 15 ft. long?[Division]

If you're having trouble setting up the problem click here for a hint


Choices
4 planks
5 planks
6 planks
7 planks
None of the above

Problem 14
A space capsule travels 6 7/8 miles in 1 3/8 seconds. What is its rate of speed in miles per second?[Division]

If you're having trouble setting up the problem click here for a hint


Choices
3 1/8 miles per second
5 miles per second
5 1/8 miles per second
3 miles per second
None of the above

Problem 15
At a swimming race the top three competitors were John, David, and Tom. They finished with the race with speeds of 12 1/16 seconds, 12 5/8 seconds, and 12 3/4 seconds respectfully. Who should be awards first, second and third prize? [Comparing fractions]

If you're having trouble setting up the problem click here for a hint


Choices
Tom first ; David second; John third
David first; John second; Tom third
John first; Tom second; David third
John first; David second; Tom third
None of the above






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