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Rule 11: Multiplying Simple Fractions

**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 :** 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.

Now prove to yourself with your calculator that your answer is correct. Calculate the answers to 3 divided by 4 and 8 divided by 9 and multiply the two answers. Now calculate 2 divided by 3. If you are correct, the answers are the same (equivalent) and you have successfully multiplied two simple fractions.

### If you are interested in reviewing another example, click on the word Example .

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

**Problem 1:** Reduce the fraction .

Answer

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

Answer

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

Answer

**Problem 4:** Multiply and reduce the answer.

Answer

**Problem 5:** Multiply and reduce the answer.

Answer

**Problem 6:** Multiply and reduce the answer.

Answer

**Problem 7:** Multiply and reduce the answer.

Answer

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