DIVISION: Example 1

Rule 16: To divide three or more fractions, complete the following three steps.

1.
Change the tex2html_wrap_inline57 signs to tex2html_wrap_inline59 and invert the fractions to the right of the signs.
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 9 tex2html_wrap_inline61 and reduce the answer.
Answer: The answer is tex2html_wrap_inline63 .

Solution: Convert the 9 to the fraction tex2html_wrap_inline65 so that the problem reads tex2html_wrap_inline67 .

Change the division signs to multiplication signs and invert the fractions to the right of the signs.

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

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

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Check: You can check the answer with your calculator. Use the following steps on your calculator to calculate the value of the original problem: 9 tex2html_wrap_inline57 (9 tex2html_wrap_inline57 8) tex2html_wrap_inline57 (18 tex2html_wrap_inline57 10). Now calculate 40 divided by 9. If you are correct, the answers are the same (equivalent) and you have successfully performed a division problem with two fractions and a whole number.

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Author: Nancy Marcus

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