Răspuns :
Salut!
0,(a)=a/9
Dupa regula asta facem si la restul:
0,(2)=2/9
0,(6)=6/9(aici am putea sa simplificam, dar la media aritmetica ar trebui iar sa amplific ca sa se poata aduma)
Ma=(a+b)/2
Ma=(2/9 + 6/9)/2
Ma=8/9 / 2
Ma= 8/9 x 1/2
Ma=4/9
Succes!
Scriem sub forma de faractii numerele
0,(2) = 2/9
0,(6) = 6/9 = 2/3
[tex]\bf Ma = \dfrac{\dfrac{2}{9}+\dfrac{6}{9} }{2}[/tex]
[tex]\bf Ma = \dfrac{\dfrac{2+6}{9}}{2}[/tex]
[tex]\bf Ma = \dfrac{\dfrac{8}{9}}{2}\\\\\\\bf Ma = \dfrac{8}{9}:\dfrac{2}{1}\\\\\\\bf Ma = \dfrac{8}{9}\cdot\dfrac{1}{2}\\\\\\\bf Ma = \dfrac{\not8}{9}\cdot\dfrac{1}{\not2}\\\\\\\bf Ma = \dfrac{4\cdot1}{9\cdot1}\\\\\\\boxed{\bf Ma = \dfrac{4}{9}}[/tex]