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MULTIPLICATION: Example 1

**Rule 12: 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 1:** Multiply .

**Answer.** Convert the 7 to the fraction . Then 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 21 and multiply the answer by 7. Now calculate 4 divided by 3. If you are correct, the answers are the same (equivalent) and you have successfully multiplied a whole number by a simple fraction.

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Author: Nancy
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