Question 247175
Thank you for re-posting it.  I'm not sure about how the problem should look like.  Should look like this???


{{{((x-7+5)/(x-1))/((x-3+1)/(x-1))}}}


If so, this is how you solve it.  When two fractions are divided by each other, is the same as multiplying by the reciprocal of the second one.  Thus we would be able to re-write the expression like this:

{{{((x-7+5)/(x-1))((x-1)/(x-3+1))}}}

In this case, we may cancel (x-1), so we get:

{{{(x-7+5)/(x-3+1)}}}

Now simplify to:

{{{(x-2)/(x-2)}}}

Can we simplify it further?  Yes.

Any number divided by itself will always equal 1, thus our final answer is {{{1}}}.


Done!  :)