Question

Se a = 0,111..., b= 1 e c= 9/99. Calcule o valor de:

a) a + c

b) b • c

c) a - c

d) b : c

Answer 1

a = 0,111..... = 1/9
b = 1
c=9/99

a)a + c = 1/9 + 9/99 = m.m.c = 99 
11/99 + 9/99 = 20/99

b)b . c = 1 . 9/99 = 9/99 simplifica = 1/11

c)a - c = 1/9  -  9/99 = m.m.c = 99
11/99  -  9/99 = 2/99

d)b  :  c
    1 :  9/99 = 
1 x 99/9 = 99/9   = 11