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2)  ¿A qué fracción corresponde el decimal semiperiódico $5,2\\overline{7}$?

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     A)  $\\LARGE \\frac{5}{27}$

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     B)  $\\LARGE \\frac{527}{100}$

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     C)  $\\LARGE \\frac{475}{99}$

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     D)  $\\LARGE \\frac{95}{18}$ 

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Para transformar el decimal $5,2\\overline{7}$ en fracción debemos seguir los siguiente pasos.

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Paso 1: Escribir en el numerador el número decimal sin coma y sin período

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$\\rightarrow$ \n

[[0]] $-$ [[1]]

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____________________

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[[2]]

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$\\leftarrow$Paso 2: Restar al valor del paso 1, el número que se obtiene de todas las cifras que van de izquierda a derecha y que no tienen raya períodica
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Paso 3: Escribir un número de la forma $9999...0000$ en el denominador, para saber la cantidad de 9 y 0 debemos seguir la siguiente regla.

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9: Se colocan tantos $9$ como cifras a la derecha de la coma decimal que están debajo de la raya períodica.

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0: Se colocan tantos $0$ como cifras a la derecha de la coma decimal que NO estan bajo la raya períodica

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Paso 4: Se restan los números obtenidos en el paso 1 y 2 en ese orden\n

[[3]]

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_________

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[[2]]

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Paso 5: Simplificar la fracción obtenida en el paso 4\n

[[4]]

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_________

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[[5]]

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La respuesta es: [[6]]

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