SOLUTION: What is 8 divided by x-9 + 5 divided by x + 8 divided by x-9 + 5 divided by x. The question is the length of a rectangle is 8 divided by x-9 while it width is 5 divided by x. Find

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is 8 divided by x-9 + 5 divided by x + 8 divided by x-9 + 5 divided by x. The question is the length of a rectangle is 8 divided by x-9 while it width is 5 divided by x. Find      Log On


   

Question 322409: What is 8 divided by x-9 + 5 divided by x + 8 divided by x-9 + 5 divided by x. The question is the length of a rectangle is 8 divided by x-9 while it width is 5 divided by x. Find the perimeter. I have tried everything and can't find the LCD,
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First simplify things by multiplying each of the length and width expressions by 2 and then you only have to add two fractions.



Your denominators are coprime, which is to say that they have no factors in common, therefore the LCD is simply the product of the two denominators, to wit . (It may be necessary, or simply aesthetic to multiply this out later on, but for now is a perfectly good representation of your LCD.

Multiply the entire sum by 1 in the form of the LCD divided by the LCD:



Which can also be expressed as:



If you think that is prettier.

John