**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 2:** 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 1 divided by 21 and multiply the answer by 7. Now calculate 1 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.

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author: Nancy Marcus

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