Question

Which expression is equivalent to the following complex fraction?

(pls help me out)​

Answer 1

B.
`(-4x + 7)/(2(x - 2))`

Explanation:

Simplify the given expression to determine its equivalent expression in the given options.

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

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

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

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

`((-4x + 7)/(x - 1))/((2x - 4)/(x - 1))`

`(-4x + 7)/(x - 1) * (x - 1)/(2x - 4)`

(x - 1) cancels (x - 1)

`(-4x + 7)/(1) * (1)/(2x - 4)`

`((-4x + 7)1)/(1(2x - 4))`

`(-4x + 7)/(2x - 4)`

`(-4x + 7)/(2(x - 2))`