Sa transformam intai numerele zecimale periodice in fractii ordinare.
8.(4)=(84-8)/9=76/9
0.(36)=36/99=4/11
Putem afla suma numerelor:
Ma=(a+b)/2
a+b=2*Ma
a+b=2*76/9=152/9
Din raportul numerelor avem relatia:
a/b=4/11
11a=4b
a=4b/11
Si inlocuind in suma avem:
4b/11+b=152/9
(4b+11b)/11=152/9
15b/11=152/9
15b=11*152/9
15b=1672/9
b=1672/(9*15)
b=1672/135
b=12.3(851)
a=4b/11
a=4*1672/135*11
a=6688/1485
a=4.5(037)
