Question

1-Usando equação do 1º grau determine a fração geratiz da dízima periódica 2,3888.​

Answer 1

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$\Large\tt{x=2,3888...\cdot10}\\\sf{10x=38,888...\cdot10}\\\tt{100x=388,888....}\\-\underline{\begin{cases}\tt{100x=388,\diagup\!\!\18\diagdown\!\!\!\!\!\!88...}\\\tt{10x=38,\diagup\!\!\!8\diagdown\!\!\!\!\!88....}\end{cases}}\\\tt{90x=350}\\\sf{x=\dfrac{35\diagdown\!\!\!0}{9\diagdown\!\!\!0}}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\tt{x=\dfrac{35}{9}\checkmark}}}}}}$