#
Multiplying Simple Fractions: Example 3

**Rule 11: To multiply two simple fractions, complete the following 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 3:** Multiply .

**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.

The answer is .

Now prove to yourself with your calculator that your answer is correct. Calculate the answers to 6 divided by 5 and 10 divided by 36 and multiply the two answers. Now calculate 1 divided by 3. If you are correct, the answers are the same (equivalent) and you have successfully multiplied two simple fractions.

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