Matemática, perguntado por valmalaenes, 4 meses atrás

6,4444..
...............

Soluções para a tarefa

Respondido por CyberKirito
1

\large\boxed{\begin{array}{l}\rm6,444\dotsc=6+0,444\dotsc\\\rm x=0,444\dotsc \cdot10\\\rm 10x=4,444\dotsc\\\rm 10x=4+0,444\dotsc\\\rm 10x=4+x\\\rm 10x-x=4\\\rm 9x=4\\\rm x=\dfrac{4}{9}\\\rm 6,444\dotsc=6+\dfrac{4}{9}=\dfrac{54+4}{9}\\\\\rm 6,444\dotsc=\dfrac{58}{9}\end{array}}

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