3,(06) = 3 + 0.06 + 0.006 + 0.0006 + ...= 3 + 6/100 + 6/1000 + 6/10000 + ...= 3 + 6/100(1 + 1/10 + 1/100 + ...)= 3 + 6/100(1/(1-1/10))= 3 + 6/100(10/9)= 3 + 60/900= 3 + 2/30= 3 + 1/15
Ответ: 3 + 1/15
3,(06) = 3 + 0.06 + 0.006 + 0.0006 + ...
= 3 + 6/100 + 6/1000 + 6/10000 + ...
= 3 + 6/100(1 + 1/10 + 1/100 + ...)
= 3 + 6/100(1/(1-1/10))
= 3 + 6/100(10/9)
= 3 + 60/900
= 3 + 2/30
= 3 + 1/15
Ответ: 3 + 1/15