**Rule 13: 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 2:** Multiply and reduce the answer.

**Answer.** The answer is .

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

You can see several ways to go from the problem. Your observations should include that the factor 12 appears in both the numerator and denominator, the number 10 in the numerator will divide evenly into the number 50 in the denominator, and the number 16 in the denominator will divide evenly into the 32 in the numerator.

Factor the numerator and denominator using these observations. Look for the factors in the mix that have a value equal to 1. We have

The fraction can be further reduced to

**Note: Another way to work the problem is to reduce each fraction first and then complete the above steps.**

- The fraction can be reduced to
- The fraction can be reduced to
- The fraction can be reduced to
- The fraction can be reduced to
- The original problem can now be written
Therefore we have

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Author: Nancy Marcus

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