Wie kann man diesen Term vereinfachen? Bitte mit Rechenweg. Danke

Question

(2n+3)/(n+1)

soll werden zu 2+(1)/(n+1)

Answer 1

(2n+3)/(n+1)

=  (2n+2  + 1 )/(n+1)

=  (   2(n+1)    + 1 )/(n+1)

=    2(n+1) / (n+1 )    + 1 /(n+1)

= 2   + 1 /(n+1)

Answer 2

$$ \dfrac{ 2n+3}{n+1} = \dfrac{ 2n+2+1}{n+1} = \dfrac{ 2\left(n+1\right)+1}{n+1} = \dots $$

Answer 3

Zähler 2n+3 = 2(n+1) +1

=(2(n+1) +1 )/(n+1)

= (2(n+1) )/ (n+1) + 1/(n+1) ->n+1 kürzen

=2  + 1/(n+1)