Least common denominator, Mathematics

Assignment Help:

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.


Related Discussions:- Least common denominator

Parameters of the poisson mixture model, Using R function nlm and your code...

Using R function nlm and your code from Exercise E1.2, write an R function called pois.mix.mle to obtain MLEs of the parameters of the Poisson mixture model.

Determine does this point lie on the line, Does this Point Lie on The Line?...

Does this Point Lie on The Line? How do you know if a point lies on a given line? For example, does the point (1, 2) lie on the line 3x + y = 7? If you graph the line and the

Class mid points and class interval or width, Class Mid points This i...

Class Mid points This is very significant values which mark the center of a provided class. They are acquired by adding together the two limits of a provided class and dividi

Basics of series - sequences and series, Series - The Basics That top...

Series - The Basics That topic is infinite series.  So just define what is an infinite series?  Well, let's start with a sequence {a n } ∞ n=1 (note the n=1 is for convenie

The Bake Sale, Lindy has 48 chocolate chip cookies and 64 vanilla wafer coo...

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, need someone to log into my hawkes and complete homework due

need someone to log into my hawkes and complete homework due

Wavy curve method, In order to compute the inequalities of the form ...

In order to compute the inequalities of the form   where n 1 , n 2 , ....... , n k , m 1 , m 2 , ....... , m p are natural and real numbers and a 1 , a 2 , ... , a k ,

Geometric progression (g.p.), Learning geometric progression ...

Learning geometric progression vis-á-vis arithmetic progression should make it easier. In geometric progression also we denote the first t

In an election contested between a and b determine vote, In an election con...

In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

Cubic math, A fish tank has the base area of 45 cm3 and is filled to the de...

A fish tank has the base area of 45 cm3 and is filled to the depth of 12 cm.If the height is 25 cm then how much more will be needed to fill the rest of the tank?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd