can (x-1)/(2x-2) be simplified any further?

Question

you are awesome Bill

Answer 1

Yes.

(x-1)
------
2(x-1)

or

1/2

Now tell me I'm awesome. I can't hear you. SAY IT!
-----
Additional: So are you for being so cordial and agreeable.

Answer 2

Yes.
(x-1)/(2x-2)=(x-1)/(2(x-1))=1/2

Answer 3

The expression is (x-1)
(2x-2)
2x-2 is simplifyed to 2(x-1)
So that makes it (x-1)
2(x-1)
The (x-1)'s cancel out,
leaving you with 1(its invisible next to the x-1)/2

Answer 4

Yes, you can factor the denominator.

Our denominator is 2x-2.

So, 2x-2 becomes 2(x-1).

See what happened?

I factored out the 2.

I divided 2 into 2x and again into 2 to get 2(x-1).

I now CANCEL OUT the binomial x-1 in the numerator and denominator.

Doing that, I get 1/2 as the final answer.

Guido

Answer 5

Yes-that is why the book has this particular problem.

(x - 1)/(2x - 2)

First: factor the denominator > factor out a least common factor > which is 2

(x - 1)/2(x - 1)

Second: cancel "like" terms > meaning-cancel (x - 1)

= 1/2

Answer 6

Yes it can surely be simplified further

if we take 2 common from the denominator then it will become
=> 2(x-1)
Therefor the equation would be:
=> (x-1)/2(x-1)
as, (x-1)/(x-1) is 1

Therefore

the answer is:
1/2

Answer 7

BEWARE !!!

(x-1) / (2x-2) is not the same as 1 / 2

Dividing by zero is undefined. When x equals 1, then (x-1) equals zero and (2x-2) equals zero, thus (x-1) / (2x-2) is not 1/2.

It is 1/2 for any x except 1.

Answer 8

Yes, as Bill (AKA Sprite) illustrates. The fraction simplifies to 1/2 for any value of x EXCEPT x = 1.
In that instance (when x = 1) the fraction is undefined.

Answer 9

Yes it can and here's an example:
(x-1)/2(x-1)

Cancel out the x-1:
1/2

Answer 10

It is 1/2

(x-1)/(2x-2)

= (x-1)/2*(x-1)
=1/2

Answer 11

(x - 1)
-------
(2x - 2)

By factoring, the 2 can be pulled out from the denominator.

(x - 1)
--------
2(x - 1)

The (x - 1) on the denominator and numerator cancel each other out.

Your final answer is 1/2 :)