Question

(puc -rj) a soma 1,333 +0,1666 e igual a:
a) 1/2 b)5/2 c)4/3
d)5/3

Answer 1

Olá,

x = 1,333...
10x = 13,333...

10x-x = 13,333... - 1,333...
9x = 12
x = 12/9

Simplificando

12/3 = 4
9/3 = 3

x = 4/3

y = 0,1666...
10y = 1,666...
100y = 16,666...

100y-10y = 16,666... - 1,666...
90y = 15
y = 15/90

Simplificando:

15/15 = 1
90/15 = 6

y = 1/6

Logo,

1,333... + 0,1666... = 
4/3 + 1/6  =
8/6 + 1/6 = 
(8+1)/6 = 9/6

Simplificando:

9/3 = 3
6/3 = 2

9/6 = 3/2

Resposta:

e) 3/2

Answer 2

1,333  periodo 1= 9 

13-1/9 =  12/9 

0,1666= periodo 1 =  9  

16-1/90= 15/90 

12/9+15/90=

mmc

9,90/2
9,45/3
3,15/3
1,5/5
1,1  mmc= 90  


12/9+15/90 =    120+15/90  =  135/90

mdc

135,90/2
135,45/3
45,15/3
15,5/3
5,5/5
   5x3x3=   45 

135/90= 3/2   

Resposta  3/2 


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