Question

Escreva as dizimas em forma de fração.

A) 0,333...
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B) - 0,1010...
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C) 0,5795795...
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D) 1,6363...
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E) 0,49974997

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Answer 1

Olá.

$\mathsf{A\ \rhd\ 0,\overline{333}}\\\\\mathsf{\dfrac{3}{9}=}\boxed{\mathsf{\dfrac{1}{3}}}\\\\\\\\\mathsf{B\ \rhd\ -0,\overline{10}}\\\\\boxed{\mathsf{\dfrac{-10}{99}}}\\\\\\\mathsf{C\ \rhd\ 0,\overline{579}}\\\\\mathsf{\dfrac{579}{999}=}\boxed{\mathsf{\dfrac{193}{333}}}\\\\\\\mathsf{D\ \rhd\ 1,\overline{63}}\\\\\mathsf{1+\dfrac{63}{99}=1+\dfrac{7}{11}=\dfrac{11+7}{11}=}\boxed{\mathsf{\dfrac{18}{11}}}\\\\\\\mathsf{E\ \rhd\ 0,\overline{4997}}\\\\\boxed{\mathsf{\dfrac{4.997}{9.999}}}$

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Bons estudos.