Question

Simplificando a expressão abaixo, obtemos :
A ) 20 / 11
B) 12 / 11
C ) 90
D ) 121
E ) 29 / 25

Answer 1

0,333... = 3/9 = 1/3

x = 0,23555...
100x = 23,555...
100x = 23 + 5/9
100x = 212/9
900x = 212 
x = 212/900
x = 53/225



= 1/9 + 1/3  / 12/25 - 53/225

= 1/9 + 3/9  / 108/225 - 53/225

= 4/9  /  55/225

= 4/9 * 225/55

= 900/495

= 20/11


Resposta: Letra A.