Question

What is the least common denominator of the fraction 4 over x plus the fraction 2 x over x minus 1 plus the fraction x plus 3 over 2 x

Answer 1

So,


`(4)/(x) + (2x)/(x - 1) + (x + 3)/(2x)`

Look at all three denominators.

`x, x - 1, 2x`

Factor them completely.

`(x), (x - 1), (2)(x)`

Putting them together, we would get the following:

`(2)(x)(x-1)\ or\ 2x^2 - 2x`