Question

2) Determine a fração geratriz das dizimas: a) 0.5555.
b) 0.8888...
d) 2.6666
c) 0.151515.​

Answer 1

Resposta:

a)5/9 b)8/9 d)8/3 c)5/33

Explicação passo-a-passo:

a) x=0,555...

10x=5.555...

10x-x=5,555...-0,555...

9x=5

x=5/9

b)x=0,888...

10x=8,888...

10x-x=8,888...-0,888...

9x=8

x=8/9

d) x=2,666...

10x=26,666...

10x-x=26,666...-2,666...

9x=24

x=24/9=8/3

c) x=0,1515...

100x=15,1515...

100x-x=15,1515...-0,1515...

99x=15

x=15/99

x=5/33