Least common denominator, Mathematics

Let's recall how do to do this with a rapid number example.

                                                    5/6 - 3/4

In this case we required a common denominator & remember that usually it's best to use the least common denominator, frequently denoted as lcd. In this case the least common denominator is 12.  So we have to get the denominators of these two fractions to a 12. It is easy to do. In the first case we have to multiply the denominator by 2 to acquire 12 so we will multiply the numerator & denominator of the first fraction by 2.  Recall that we've got to multiply the numerator and denominator both by the similar number as we aren't allowed to actually change the problem and it is equivalent to multiplying the fraction through 1 since (a/a)=1. .  For the second term we'll need to multiply the numerator & denominator by a 3.

 (5/6)-(3/4)=5(2)/6(2)-3(3)/4(3)=(10/2)-(9/12)=(10-9)/12=(1/12)

Now, the procedure for rational expressions is identical. The main complexity is finding the least common denominator.  However, there is a really simple process for finding the least common denominator for rational expressions.  Here is it.

1. Factor all the denominators.

2. Write each factor which appears at least once in any of the denominators.  Do not write down the power which is on each factor, just write down the factor

3. Now, for each of the factor written down in the earlier step write the largest power that takes place in all the denominators containing that factor.

4. The product all the factors from the earlier step is the least common denominator.

Posted Date: 4/6/2013 3:13:02 AM | Location : United States







Related Discussions:- Least common denominator, Assignment Help, Ask Question on Least common denominator, Get Answer, Expert's Help, Least common denominator Discussions

Write discussion on Least common denominator
Your posts are moderated
Related Questions
Give an example to illustrate how language incompetence can interfere with a child's ability to perform a task. While setting up a classification activity, a teacher gave the ch

Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans:    a = 100 APQ a 1 + a 2 + ....... a 6

One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int


Lindy has 48 chocolate chip cookies and 64 vanilla wafer cookies. How many bags can Lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bag? She pl

Calculus with Matrices There actually isn't a whole lot to it other than to just ensure that we can deal along with calculus with matrices. Firstly, to this point we've onl

find the amplitude and period of y=3 sin 2 pi x

Dividing Mixed Numbers Dividing mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions. 2. Divide the fractions 3. Convert the result ba

Will has a bag of gumdrops. If he eats 2 of his gumdrops, he will have among 2 and 6 of them left. Which of the subsequent represents how many gumdrops, x, were originally in his b

what is 2+2=