Least common denominator of rational expression, Mathematics

Perform the denoted operation.

                   (4/6x2)-(1/3x5)+(5/2x3)

Solution

For this problem there are coefficients on each of term in the denominator thus we'll first required the least common denominator for the coefficients. It is 6. Now, x (by itself along a power of 1) is the only factor which occurs in any of the denominators. Thus, the least common denominator for this part is x along with the largest power which occurs on the entire x's in the problem, that is 5.  So, the least common denominator for this set of rational expression is

                                                     lcd : 6x5

Thus, we just need to multiply each term via an appropriate quantity to get this in the denominator and then do the addition & subtraction. Let's do that.

 (4/6x2)-(1/3x5)+5/2x3)=4(x3)/6x2(x3)-(1(2)/3x5(2)+5(3x2)/2x3(3x2)

                                    =(4x3/6x5 )-(2/6x5)+(15x2/6x5)             

                                    = (4x3-2+15x2)/6x5)

Posted Date: 4/6/2013 3:14:03 AM | Location : United States







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

Write discussion on Least common denominator of rational expression
Your posts are moderated
Related Questions
Factors in Denominator and Partial Fraction Decomposition Factor in denominator Term in partial  fraction decomposition   ax + b

i need help in math


In the adjoining figure a dart is thrown at the dart board and lands in the interior of the circle. What is the probability that the dart will land in the shaded region. A

what is the meaning of statistics

Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and the impulse response function of a filter h(n) = {2, 1, 3} using the DFT and the IDFT.


Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w

Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function.                                               f ( x ) = x 3 + 2 x 2 -

Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.