DIVISION: Example 2

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

1.
Change the tex2html_wrap_inline77 signs to tex2html_wrap_inline79 sign 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.

Example2: Multiply tex2html_wrap_inline81 and reduce the answer.

Answer: The answer is 4.

Solution: Convert the 16 and 9 to the fractions tex2html_wrap_inline83 and tex2html_wrap_inline85 , respectively so that the problem tex2html_wrap_inline81 can be written tex2html_wrap_inline89 .

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

displaymath91

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

displaymath93

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

displaymath95

Check: You can check the answer with your calculator. Use the following steps on your calculator to calculate the value of the original problem: 16 tex2html_wrap_inline77 (8 tex2html_wrap_inline77 3) tex2html_wrap_inline77 16 tex2html_wrap_inline77 (1 tex2html_wrap_inline77 6). If the answer is 4, you have successfully performed a division problem with two fractions and a whole number.

[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