rozwiązanie
a)
a = 0,(36) = 0,3636…
100a - a = 99a
36,3636… - 0,3636… = 36
99a = 36
a = \frac{36}{99} = \frac{13}{33}
b)
a = 0,(06)
100a - a = 99a
6,0606… - 0,0606… = 6
99a = 6
a = 6/99 = 2/33
c)
a = 3,(79)
100a - a = 99a
379,(79) - 3,(79) = 99a
99a = 376
a = \frac{376}{99}
d)
a = -6,(24)
100a - a = 99a
a = - \frac{618}{99}
e)
a = 2,1(52)
1000a - 10a = 990a
2152,(52) - 21,(52) = 990a
990a = 2131
a = \frac{2131}{990}