Question

Qual é a fração geratriz das dizimas abaixo :
(A) 13,111...
(B) 5,3232...
(C) 1,1666...

Answer 1

a) x = 13,111...
10x = 131,111...

10x - x = 131,111... - 13,111...
9x = 118
x = 118 / 9

b) x = 5,3232...
100x = 532,3232...

100x - x = 532,3232... - 5,3232...
99x = 527
x = 527 / 99

c) x = 1,1666...
10x = 11,666...
100x = 116,666...

100x - 10x = 116,666... - 11,666...
90x = 105
x = 105 / 90 = 35 / 30

Answer 2

A = 118/9
B = 527/99
C= 105/90