Question

a fração geratiz de 9,18222...?​

Answer 1

Resposta:

2066/225

Explicação passo-a-passo:

918/100 + 2/900

459/50 + 1/450

(4131 + 1)/450

4132/450

2066/ 225

Answer 2

Hi !

Resolução

Acompanhe a conta abaixo:

$\sf x=9,18222\cdots \\\\\\\sf 100x=918,222\cdots\\\\\\\sf 100x-x=918,222\cdots-9,18222\\\\\\\sf 909,03978\cdots$

Portanto:

$\sf 99x=909,03978\cdots\Rightarrow \boxed{\sf \frac{909,03978}{99} }$

Prova:

$\sf \dfrac{909,\:03978}{99}=918222\cdots$