Question

Qual é o valor de 2 : 0,666 ...?

Answer 1

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$\Large\boxed{\begin{array}{l}\sf x=0,666...\cdot10\\\sf 10x=6,666...\\-\underline{\begin{cases}\sf10x=6,666...\\\sf x=0,666..\end{cases}}\\\sf 9x=6\\\sf x=\dfrac{6\div3}{9\div3}\\\sf x=\dfrac{2}{3}\\\sf 2\div0,666=2\div\dfrac{2}{3}\\\sf 2\div0,666...=\diagup\!\!\!2\cdot\dfrac{3}{\diagup\!\!\!2}\\\sf 2\div0,666...=3\end{array}}$