One use of the LCD is to simplify complex fractions. Complex fractions are fractions that contain other minor fractions within the numerators and/or denominators.
The first method is convenient if the original problem has a single fraction in the numerator and a single fraction in the denominator from the start of the problem.
Observe the following example involving a single
fraction in the numerator and a single fraction in the denominator:
Change the problem to a multiplication of fractions by
For all other complex fractions, a second method may be easiest. This method involves the examination of all of the minor fractions both in the numerator and in the denominator of the complex fraction to determine one single LCD for the entire complex fraction. Once this single LCD is determined, all of the terms of the complex fraction are multiplied by the LCD.
... Combine like terms in the numerator
Problem is now fully simplified
Combine like terms
Factor out the common factor of 2 and reduce
The views and
opinions expressed in this page are strictly those of Mary Lou Baker.
This page was edited on 06-Nov-2007