Question

a/0,8333...

b/0,0575757...

c/2,13444...

d/0,2333...

Answer 1

Resposta:

Explicação passo a passo:

a.

0,8333...

x=0,8333...

10x=8,333...

100x=83,333...

100x-10x=83,333...-8,333...

90x=75

x=75/90 [ simplifica por 15]

x=5/6

b.

0,05757575...

x=0,05757575...

100x=5,757575...

10000x=575,757575...

10000x-100x=575,757575...-5,757575...

9900x=570

x=570/9900 [simplifica por 30]

x=19/330

c.

2,134444....

x=2,13444...

100x=213,4444....

1000x=2134,4444....

1000x-100x=2134,4444...-213,4444...

900x=1921

x=1921/900

d.

0,2333....

x=0,2333...

10x=2,3333...

100x=23,3333...

100x-10x=23,333...-2,3333...

90x=21

x=21/90 [simplifica por 3]

x=7/30