Question

o valor da expressão 0,333.. +o,666.. +1/3 é: a) 7/3 B) 3/7 c) 7 d)n.d.a​

Answer 1

Utilizando as frações geratrizes das dizimas, temos:

$0,333...~+~0,666...~+~\frac{1}{3}~=~\frac{3}{9}~+~\frac{6}{9}~+~\frac{1}{3}\\\\\\0,333...~+~0,666...~+~\frac{1}{3}~=~\frac{1~.~3~+~1~.~6~+~3~.~1}{9}\\\\\\0,333...~+~0,666...~+~\frac{1}{3}~=~\frac{3+6+3}{9}\\\\\\0,333...~+~0,666...~+~\frac{1}{3}~=~\frac{12}{9}\\\\\\\boxed{0,333...~+~0,666...~+~\frac{1}{3}~~=~~\frac{4}{3}}$

Resposta: Letra D