Question

pasar a fraccion la exprecion decimal 3,43 con arco​

Answer 1

DECIMAL A FRACCIÓN

$\mathsf{x=3,\overset{\frown}{43}}\quad \Leftarrow\ Ecuaci\'on\ 1\\\\\mathsf{100x=343,\overset{\frown}{43}}\quad \Leftarrow\ Ecuaci\'on\ 2\\\\ \textbf{Restamos la ecuaci\'on 1 con la 2:}\\\\\mathsf{100x -x=343,\overset{\frown}{43}-3,\overset{\frown}{43}}\\\\\mathsf{99x=340}\\\\\mathbf{x = \dfrac{340}{99}}\quad \Leftarrow Fracci\'on\ Irreducible$

$\textbf{Entonces:}\\\\\mathbf{3,\overset{\frown}{43}\Longrightarrow\ \dfrac{340}{99}}$

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