Rule 13: MULTIPLICATION

To multiply three or more simple fractions, complete the following three 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 and reduce the answer.

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 answer to 3 divided by 4, 6 divided by 7, 8 divided by 9, and and multiply the answers. Now calculate 4 divided by 7. If you are correct, the answers are the same (equivalent) and you have successfully multiplied three simple fractions.

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

Work the following problems. If you want to check your answer and look at the solution, click on the word Answer.

Problem 1: Multiply and reduce the answer.

Answer

Problem 2: Multiply and reduce the answer.

Answer

Problem 3: Multiply and reduce the answer.

Answer

Problem 4: Multiply .

Answer

Problem 5: Multiply .

Answer

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