# Rule 14: Dividing Simple Fractions

To divide one fraction by a second fraction, convert the problem to multiplication and multiply the two fractions.

1.
Change the sign to and invert the fraction to the right of the sign.
2.
Multiply the numerators.
3.
Multiply the denominators.
4.
Reduce the results. (See Rule 10)
a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

Example : Multiply .

Answer: Change the division sign to multiplication and invert the fraction to the right of the sign.

Multiply the numerators and the denominators, but leave them in factored form.

Factor the numerator and denominator and look for the fraction in the mix that has a value of 1.

Now prove to yourself with your calculator that your answer is correct. Calculate the answers to 3 divided by 4, 9 divided by 16, and divide the first answer by the second answer. Now calculate 4 divided by 3. If you are correct, the answers are the same (equivalent) and you have successfully divided by fraction by a second fraction.

### Work the following problems and click on Answer to check your results.

Problem 1: Calculate and reduce your answer.

Answer

Problem 2: Calculate and reduce your answer.

Answer

Problem 3: Calculate and reduce your answer.

Problem 4: Calculate and reduce your answer.

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Author: Nancy Marcus

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