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

$\frac{4}{x} + \frac{2x}{x-1} + \frac{x+3}{2x}$
has as a common denominator 2x(x-1).

Answer 2

Answer:

2x (x-1)

Step-by-step explanation:

We have to find the least common denominator of the fraction $\frac{4}{x}+\frac{2x}{(x-1)}+ \frac{x+3}{2x}$

Least common denominator is the expression which should be divisible by all the denominators.

so, factors of x =  1. (x)

     factors of (x-1) = 1. ( x-1 )

    factors of 2x = 2. (x)

Therefore, expression which will be divisible by all denominators will be  

= 2(x) (x-1)

= 2x (x-1)

2x (x-1) will be the least common denominator.