Question

What is x divided by x-1 - 1 divided by 2-2x expessed as a single fraction ?

Answer 1

To simplify into 1 fraction, remember, we must make the denominator the same
x/ (x-1 )  - 1/ (2-2x)
= -x/ -(1-x) - 1/(2-2x)    [see the similarity now? ]  [whatever we multiply for the denominator, as long as we multiply to the numerator, it will be ok]
= -2x / -(2-2x)    + 1/-(2-2x)
= (-2x+1 )/ -(2-2x)
=(2x-1)/(2-2x)