Dividing Simple Fractions: Example 2

Rule 14: To divide one fraction by a second fraction, convert the problem to multiplication and multiply the two fractions.

1.
Change the tex2html_wrap_inline38 sign to x and invert the fraction to the right of the sign.
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 tex2html_wrap_inline40 .

Answer: The answer is tex2html_wrap_inline42 .

Solution: Change the division sign to multiplication and invert the fraction to the right of the sign. tex2html_wrap_inline44

Multiply the numerators and the denominators, but leave them in factored form. tex2html_wrap_inline46

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

tex2html_wrap_inline48

Check: Now prove the answer with your calculator. Calculate 6 divided by 15, 1 divided by 3, and divide the first answer by the second answer. Now calculate 6 divided by 5. If you are correct, the answers are the same (equivalent) and you have successfully divided one fraction by a second fraction.

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Author: Nancy Marcus

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