Question

1) A dizima periódica 0,4444... é igual a :
a) 4/9
b) 1/2
c) 49/90
d) 49/99

Answer 1

Resposta:

Letra A

Pois 4÷9 será = 0,4444......

Answer 2

$\mathtt{x=0,444... \times10}\\\mathtt{10x=4,444... }$

$\mathtt{-\underline{\begin{cases}10x=4,\cancel{444...}\\x=0,\cancel{0,444... }\end{cases}} }$

$\mathtt{9x=4}$

$\huge\boxed{\boxed{\mathtt{x=\dfrac{4}{9}}}}$

$\huge\boxed{\boxed{\mathtt{\maltese~~Alternativa~a}}}$