Dividing Simple Fractions: Example 3

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 3: Calculate tex2html_wrap_inline66 and reduce the answer.

Answer: The answer is tex2html_wrap_inline68 .

Solution: Change the division sign to multiplication and invert the fraction to the right of the sign. tex2html_wrap_inline70

Multiply the numerators and the denominators, but leave them in factored form. tex2html_wrap_inline72

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

displaymath74

and

displaymath76

Check: Now prove the answer with your calculator. Calculate 14 divided by 100, 21 divided by 25, and divide the first answer by the second answer. Now calculate 1 divided by 6. If you are correct, the answers are the same (equivalent) and you have successfully divided one fraction by a second fraction.

[Previous Example] [Menu Back]


S.O.S MATHematics home page

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

Author: Nancy Marcus

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour