Question

Expressedas asingle fraction, what isx+0,-1?X +

Answer 1

`(1)/(x+1)+(1)/(x)`

Use the definition of the addition of fractions

`(a)/(b)+(c)/(d)=(a\cdot d+b\cdot c)/(b\cdot d)`

apply this definition to the fraction given

`(1)/(x+1)+(1)/(x)=(1\cdot(x)+1\cdot(x+1))/((x+1)\cdot x)`
`\begin{gathered} (x+x+1)/(x^2+x) \\ (2x+1)/(x^2+x) \end{gathered}`