Question

0,3111....-(1/3) AJUDA AÍ

Answer 1

Caso tenha problemas para visualizar a resposta experimente abrir pelo navegador https://brainly.com.br/tarefa/32946823?answering=true&answeringSource=feedPublic%2FhomePage%2F3

$\sf{x=0,3111....\cdot10}\\\sf{10x=3,111...\cdot10}\\\sf{100x=31,111....}\\-\underline{\begin{cases}\sf{100x=31,\diagup\!\!\!1\diagup\!\!\!1\diagup\!\!\!1\diagup\!\!\!\!\!...}\\\sf{10x=3,\diagup\!\!\!1\diagup\!\!\!1\diagup\!\!\!1\diagup\!\!\!\!\!\!...}\end{cases}}\\\sf{90x=28}\\\sf{x=\dfrac{28\div2}{90\div2}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{x=\dfrac{14}{45}}}}}}$

$\sf{0,3111...-\dfrac{1}{3}=\dfrac{14}{45}-\dfrac{1}{3}=\dfrac{14-15}{45}}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf{-\dfrac{1}{45}}}}}}}$