Question

x/x-1 +1 divided by x+2/x
you have to get a common denominator in the numberator and muliply by the reciprocal

Answer 1

\[\frac{\frac{x}{x-1}+1}{x+\frac{2}{x}}\]

Answer 2

you can clear the fractions in one step by multiplying top and bottom by
\[x(x-1)\]

Answer 3

you get
\[\frac{x^2+x(x-1)}{x^2(x-1)+2(x-1)}\] and then multiply out and combine like terms in numerator and denominator

Answer 4

giving
\[\frac{2x^2-x}{x^3-x^2+2x-2}\]