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

Math, what is 24566x12567=

what is 24566x12567=

Positive integer, (a)   Specify that  the sum of  the degrees  of all verti...

(a)   Specify that  the sum of  the degrees  of all vertices of a graph  is double the number of edges  in  the graph.                            (b)  Let G be a non directed gra

Prerequisite, Is prerequisite multipcation or addition

Is prerequisite multipcation or addition

What is the average number of miles lori ran, Lori ran (5)1/2 miles Monday,...

Lori ran (5)1/2 miles Monday, (6)1/4 miles Tuesday (4)1/2 miles Wednesday and (2)3/4 mile on Thursday what is the average number of miles lori ran ? To find the average, add

Series, if abebe murepay a $100000interse free loan by making annuallypaym...

if abebe murepay a $100000interse free loan by making annuallypayment of 1st

Vectors, If r,R denote position vectors of points on the straight lines in ...

If r,R denote position vectors of points on the straight lines in the direction of a and b respectively, and if n is a unit vector perpendicular to both these directions, show that

Definition of minimum and maximum values, Definition 1.   We say that f...

Definition 1.   We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on. 2.  We say that at x = c ,

Complex numbers, find the modulus Z=(2-i)(5+i12)/(1+i2)^3

find the modulus Z=(2-i)(5+i12)/(1+i2)^3

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