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Rule 12: MULTIPLICATION

** To multiply a whole number and a fraction, complete the following steps.
**

**1.**
** Convert the whole number to a fraction. (See Rule 8)
****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.** Convert the 3 to the fraction . Now we have

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. We have

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

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

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

**Problem 1:** Multiply the fraction .

Answer

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

Answer

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

Answer

**Problem 4:** Reduce .

Answer

**Problem 5:** Reduce .

Answer

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Author: Nancy
Marcus

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