Adding Decimal Numbers, Numbers as finite decimal fractions

345,2815 +213,19________558,4715Exemple 22,(34)+56,7(93)=?2,3434343434.....+56,79393939393...________59,13737......=59,1(37).2,(34)+56,7(93)=?

2,343434343434...+

56,79393939393...

_________________

59,137373............= 59,1(37) 

NOTE: 

Adding Decimal Numbers is commutative:

 a + b = b + a 

whatever finite decimal fractions a and b. 

Example: 61.23 = 61.23 5.41 5.41 without gathering.

Assembly is finished decimal fractions of their association, namely: (a + b) + c = a + (b + c), irrespective of the finite decimal fractions A and B.

Exemple: 

(5,41 +61,23)+3,1=5,41+(61,23+3,1)