Question

(PUC-RIO-RJ) A soma 1,333...+0,16666 é igual a:(com a conta)

a)1/2
b)5/2
c)4/3
d)5/3
e)3/2

Answer 1

x → 1,333...
y → 0,166...

$x=1,333..\\x=1+ \frac{3}{9}\\x= \frac{12}{9} \\ \\x= \frac{4}{3}$

Agora pro y 

$y=0,166....(10)\\10y=1,666..\\10y= 1+\frac{6}{9} \\10y= \frac{15}{9} \\ \\y= \frac{15}{90} \\ \\y= \frac{1}{6}$

Agora é só somar as frações :

$\boxed{ \frac{4}{3} + \frac{1}{6} = \frac{9}{6} ~\to~ \frac{3}{2} }$

Alternativa E