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,

$\frac{4}{x} + \frac{2x}{x - 1} + \frac{x + 3}{2x}$

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:
$(2)(x)(x-1)\ or\ 2x^2 - 2x$