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# Fraction Review for Armed Services Vocational Aptitude Battery (ASVAB) Study Guide (page 5)

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Updated on Jun 23, 2011

### Multiplying Fractions

Multiplying fractions is actually easier than adding them. All you do is multiply the top numbers and then multiply the bottom numbers.

Example:

Sometimes you can cancel before multiplying. Canceling is a shortcut that makes the multiplication go faster because you're multiplying with smaller numbers. It's very similar to reducing: if there is a number that divides evenly into a top number and bottom number, do that division before multiplying. If you forget to cancel, you will still get the right answer, but you will have to reduce it.

Example:
1. Cancel the 6 and the 9 by dividing 3 into both of them: and . Cross out the 6 and the 9.
2. Cancel the 5 and the 20 by dividing 5 into both of them: and . Cross out the 6 and the 9.
3. Multiply across the new top numbers and the new bottom numbers:                                                                   .
Try these multiplication problems.

To multiply a fraction by a whole number, first rewrite the whole number as a fraction with a bottom number of 1.

Example:
(Optional: convert to a mixed number: )
To multiply with mixed numbers, it's easier to change them to improper fractions before multiplying.
Example:
1. Convert to an improper fraction:
2. Convert to an improper fraction:
3. Cancel and multiply the fractions:
4. Optional: convert the improper fraction to a mixed number:
Now try these multiplication problems with mixed numbers and whole numbers:
Here are a few more real-life problems to test your skills:
1. After driving of the 15 miles to work, Mr. Stone stopped to make a phone call. How many miles had he driven when he made his call?
1. 5
2. 10
3. 12
2. If Henry worked of a 40-hour week, how many hours did he work?
1. 10
2. 20
3. 25
4. 30
3. Technician Hamm makes \$13.00 an hour. When she works more than 8 hours a day, she gets overtime pay of times her regular hourly wage for the extra hours. How much did she earn for working 10 hours in one day?
1. 110
2. \$125.75
3. \$136.50
4. \$154.25
5. \$163.50

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