Question

What is the Least Common Denominator of 7/3x+2/x+x/x-1?
(Will post multiple choice answers if requested)

Answer 1

well the question is \[\frac{7}{3x} + \frac{2}{x} + \frac{x}{x -1}\]

the 1st 2 fractions can have a common denonimator of 3x

\[\frac{7}{3x} + \frac{2}{x} \times \frac{3}{3} = \frac{7 + 6}{3x}\]

then the lowest common denominator of 3x and x -1 is

\[\frac{13}{3x} \times \frac{x-1}{x -1} + \frac{x}{x -1} \times \frac{3x}{3x} = \frac{13(x-1)}{3x(x -1)} + \frac{x \times 3x}{3x(x-1)}\]

all you need to do is simplify

Answer 2

is it 3x(x-1)?

Answer 3

looks like it...

Answer 4

thanks, that was one of the choices too. :D