Question

Can someone help me with algebra?

What is the least common denominator of the fraction 7 over 3 x plus the fraction 2 over x plus the fraction x over x minus 1?

3x − 1
3(x2 − 1)
3(x − 1)
3x(x − 1)

thanks in advanced :))

Answer 1

the answer is 3x( x - 1 )

Answer 2

The least common denominator of the fraction is:

3x(x − 1)

Explanation:

We are given a algebraic expression in terms of the variable x as follows:

The fraction 7 over 3 x plus the fraction 2 over x plus the fraction x over x minus 1.

Mathematically it is expressed as follows:

`=(7)/(3x)+(2)/(x)+(x)/(x-1)`

Hence, on taking the Least common Multiple we get:

`=(7(x-1)+2* 3(x-1)+x* 3x)/(3x(x-1))`

which is given by:

`=(7x-7+6x-6+3x^2)/(3x(x-1))\\\\\\=(3x^2+13x-13)/(3x(x-1))`

Hence, the answer is:

3x(x-1)