Question

TRANSFORMEM EM FRAÇÃO IRREDUTIVEL AS DIZIMAS PERIODICAS

A) 0,15151515
B) 0,287287
C) 1,111
D) 0,0111

Answer 1

a) x = 0,151515...
100x = 15,1515...
100x = 15 + x
100x-x = 15
99x = 15
x = 15/99
x = 5/33

b) x = 0,287287...
1000x = 287,287...
1000x = 287 + x
1000x - x = 287
999x = 287
x = 287/999

c) x = 1,111...
x = 1 + 1/9
x = 10/9

d) x = 0,0111...
10x = 0,1111...
10x = 1/9
90x = 1
x = 1/90