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 tex2html_wrap_inline63 .

Answer. Convert the 3 to the fraction tex2html_wrap_inline65 . Now we have

displaymath67

Multiply the numerators and the denominators, but leave them in factored form tex2html_wrap_inline69 .

Factor the numerator and denominator and look for the fractions that have a value of 1. We have

displaymath71

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 tex2html_wrap_inline73 .

Answer

Problem 2: Multiply tex2html_wrap_inline75 and reduce the answer.

Answer

Problem 3: Multiply tex2html_wrap_inline77 and reduce the answer.

Answer

Problem 4: Reduce tex2html_wrap_inline79 .

Answer

Problem 5: Reduce tex2html_wrap_inline81 .

Answer

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Author: Nancy Marcus

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