// Numbas version: finer_feedback_settings {"name": "Gu\u00eda 3 - N\u00famero Racionales - Pregunta 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Gu\u00eda 3 - N\u00famero Racionales - Pregunta 2", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "
2) ¿A qué fracción corresponde el decimal semiperiódico $5,2\\overline{7}$?
\nA) $\\LARGE \\frac{5}{27}$
\nB) $\\LARGE \\frac{527}{100}$
\nC) $\\LARGE \\frac{475}{99}$
\nD) $\\LARGE \\frac{95}{18}$
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\n\n Paso 1: Escribir en el numerador el número decimal sin coma y sin período \n | \n$\\rightarrow$ | \n\n [[0]] $-$ [[1]] \n____________________ \n[[2]] \n | \n$\\leftarrow$ | \nPaso 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 | \n
\n | \n | \n 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. \n9: Se colocan tantos $9$ como cifras a la derecha de la coma decimal que están debajo de la raya períodica. \n0: Se colocan tantos $0$ como cifras a la derecha de la coma decimal que NO estan bajo la raya períodica \n | \n\n | \n |
Paso 4: Se restan los números obtenidos en el paso 1 y 2 en ese orden | \n\n [[3]] \n_________ \n[[2]] \n | \n
Paso 5: Simplificar la fracción obtenida en el paso 4 | \n\n [[4]] \n_________ \n[[5]] \n | \n
La respuesta es: [[6]]
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