Rule 16: DIVISION
To divide three or more fractions, complete the
following three steps.
- Change the signs to sign and invert the fractions to the right of the signs.
- Multiply the numerators.
- Multiply the denominators.
- Reduce the results. (See Rule 10)
- Factor the product of the numerators.
- Factor the product of the denominators.
- Look for the fractions that have a value of 1.
Example : Calculate and reduce the answer.
Answer: The answer is .
Solution: Change the division signs to multiplication signs and
invert the fractions to the right of the signs.
Multiply the numerators and the denominators, but leave them in
Factor the numerator and the denominator and look for the fractions
that have a value of 1.
Check: Now prove to yourself with your calculator
that your answer is correct. Use the following steps on your calculator:
Now calculate 10 divided by 27. If you are correct, the answers are the same (equivalent) and you have successfully performed a division problem with three fractions.
If you are interested in reviewing another example, click on the word
Work the following problems and click on Answer to check your
Problem 1: Calculate and reduce your answer.
Problem 2: Calculate and reduce your answer.
Problem 3: Calculate and reduce your answer.
Problem 4: Calculate and reduce your answer.
Problem 5: Calculate and reduce your answer.
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