How I separate 1/(2+1) in 2 fractions?

[xeon123]

How I separate 1/(2+1) in 2 fractions?

 

[JJacquelin]

1/(2+1) = (1/3)+(0/3)

 

[Mark44]

Or 1/(2 + 1) = 1/6 + 1/6
Or 1/(2 + 1) = 2/9 + 1/9
There are any number of ways to do it.

 

[arildno]

1/(2+1)=1/2*(1/(1+1/2))=1/2*(1-1/2+(1/2)^2-(1/2)^3+-+-)=1/2-1/4*(1-1/2+(1/2)^2-+-+)=1/2-1/4*2/3=1/2-1/6

For example.