Math Question?

Question

if x cannot equal 0, than what does ((x+1)/(6x))+((x+1)/(2x)) equal?

Answer 1

You mean you need to simplify that expression?
Ok ...The common denominator is 6x. Convert the second term to the common denominator by multiplying top and bottom by 3, Then you get
((x+1)/(6x))+(3(x+1)/(6x)) =
..................+((3x+3)/(6x)) =
(x + 1 + 3x + 3)/(6x) =
(4x + 4)/(6x) =
2(x+2)/(2(3x))=
(x+2)/3x
This is as far as you can go, unless you want to assign a value for x and evalute this expression for that value. For example, if x = 1 then you have (1+2)/(3x1) = 3/3 = 1
By the way, thanks for the liberal use of parenthesis. Some of these questions people ask here are impossible to answer for sure, since the lack of parenthesis makes for an ambiguous question.
(edited later) oops! I goofed up there where I factored out the 2. Sorry bout that. Pobody's Nerfect.

Answer 2

Look:

(x+1) / 6x + (x+1) / 2x is the same as:

( (x+1) / x ) ( 1/6 + 1/2 ) or

2/3 ((x+1) / x)

Don't let this one get too complicated.

Answer 3

scythian1 actually has the right answer.

She Nerd was correct until the step after this:
(4x + 4)/(6x) =

It should continue...
4(x+1)/6x
=2(x+1)/3x (same answer as Scythian 1)