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

2x (x-1)

Explanation:

We have to find the least common denominator of the fraction
`(4)/(x)+(2x)/((x-1))+ (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.

Answer 2

`(4)/(x) + (2x)/(x-1) + (x+3)/(2x)`
has as a common denominator 2x(x-1).