Question

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

Answer 1

$\frac{1}{x+1}+\frac{1}{x}$

Use the definition of the addition of fractions

$\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}$

apply this definition to the fraction given

$\frac{1}{x+1}+\frac{1}{x}=\frac{1\cdot(x)+1\cdot(x+1)}{(x+1)\cdot x}$$\begin{gathered} \frac{x+x+1}{x^2+x} \\ \frac{2x+1}{x^2+x} \end{gathered}$