Question

simplify the complex fraction can you please explain each step I'm so confused if you could label the work that would be great​

Answer 1

`(x + 2)/(2[2x - 3])`

Explanation:

Think about what you do when you are trying to factor trinomials with a leading coefficient greater than 1 [Slide & Divide (also known as the slowest way to factor trinomials with a leading coefficient greater than 1)]. Step 4 is called bottoms-up, meaning that you take the denominator of
`x` and bring it to the outside number farthest to the left. Doing this will give you this so far:

`(x + 2)/(4x - 6)`

Now, if you have not noticed,
`4x - 6` can be simplified further because the Greatest Common Factor [GCF] is 2, so factoring this out will give you your final answer of this:

`(x + 2)/(2[2x - 3])`

I am delighted to assist you anytime.