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Rule 13: MULTIPLICATION

**To multiply three or more simple fractions, complete the following three steps.
**

**1.**
** Multiply the numerators.
****2.**
** Multiply the denominators.
****3.**
** 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 and reduce the answer.

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

Factor the numerator and denominator and look for the fractions that have a value of 1.

Now prove to yourself with your calculator that your answer is correct. Calculate the answer to 3 divided by 4, 6 divided by 7, 8 divided by 9, and and multiply the answers. Now calculate 4 divided by 7. If you are correct, the answers are the same (equivalent) and you have successfully multiplied three simple fractions.

### If you would like to review another example, click on the word Example .

### Work the following problems. If you want to check your answer and look at the solution, click on the word Answer.

**Problem 1:** Multiply and reduce the answer.

Answer

**Problem 2:** Multiply and reduce the answer.

Answer

**Problem 3:** Multiply and reduce the answer.

Answer

**Problem 4:** Multiply .

Answer

**Problem 5:** Multiply .

Answer

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Author: Nancy
Marcus

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