Question

Encontre a fração geratriz das dizimas periódicas:
A)0,1212...
B)0,1222...
C)2,1777...
Com Cálculos Por Favor Urgentemente

Answer 1

A) x = 0,121212     100x = 12,121212

100x - x = 12,1212 - 0,1212

99x = 12

x = 12/99 >>> 4/33


B) x = 0,1222      10x = 1,222      100x = 12,222

100x -  10x = 12,222 - 1,222

90x = 11

x = 11/90

C) x = 2,1777     10x = 21,777     100x = 217,777
100x - 10x = 217,777 - 21,777
90x = 196
x = 196/90 >>>98/45