Question

Se E = 5,888... + 3,777... − 4,222..., então vale

Answer 1

a = 5,888...
10a = 58,888...
10a-a = 58,888... - 5,888...
9a = 53
a = 53/9

b = 3,777...
10b = 37,777...
10b - b = 37,777... - 3,777...
9b = 34
b = 34/9

c = 4,222...
10c = 42,222...
10c - c = 42,222... - 4,222...
9c = 38
c = 38/9

E = a + b - c
E = 53/9 + 34/9 - 38/9

E = 49/9

Answer 2

E = 5,888... + 3,777... − 4,222...

x = 5,888...
10x = 58,888...

10x - x = 58 - 5 

9x = 53

x = 53/9


y = 3,777...
10y = 37,777...

10y - y = 37 - 3

9y = 34

y = 34/9


z = 4,222...
10z = 42,222...

10z - z = 42 - 4

9z = 38

z = 38/9


E = 53/9 + 34/9 - 38/9

E = 87/9 - 38/9

E = 49/9

Espero ter ajudado!!