Question

Transforme as dízimas em frações:
a) 0,11111...
b) 0,131313...
c) 0,125125125...
d) 0,555555...
e) 0,666666...

Answer 1

Vamos là.

a) 0,111...

x = 0,111...

10x = 1,111...

9x = 1

x = 1/9

b) 0,131313...

x = 0,131313

100x = 13,131313...

99x = 13

x = 13/99

c) 0,125125125...

x = 0,125125125...

1000x = 125,125125125...

999x = 125

x = 125/999

d) 0,555...

x = 0,555...

10x = 5,555...

9x = 5

x = 5/9

e) 0,666...

x = 0,666...

10x = 6,666...

9x = 6

x = 6/9 = 2/3