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1) ¿Cuál de las siguientes fracciones es equivalente a $\\Large \\frac{3}{7}$?

A) $\\Large \\frac{7}{3}$

B) $\\Large \\frac{6}{21}$

C) $\\Large \\frac{9}{14}$

D) $\\Large \\frac{6}{14}$

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La $\\Large \\frac{3}{7}$ debemos amplificarla, es decir multiplicar el numerador y denominador por [[0]], para obtener su fracción equivalente la cual es:

[[1]]

________

[[2]]

La respuesta es la alternativa: [[3]].

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

A) $\\LARGE \\frac{5}{27}$

B) $\\LARGE \\frac{527}{100}$

C) $\\LARGE \\frac{475}{99}$

D) $\\LARGE \\frac{95}{18}$

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

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

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

$\\rightarrow$

[[0]] $-$ [[1]]

____________________

[[2]]

$\\leftarrow$

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

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.

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

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

\n\n\n\n\n\n\n\n

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

[[3]]

_________

[[2]]

\n\n\n\n\n\n\n\n

Paso 5: Simplificar la fracción obtenida en el paso 4

[[4]]

_________

[[5]]

La respuesta es: [[6]]

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N\u00famero Racionales - Pregunta 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "

3) Las fracciones $\\Large \\frac{5}{6}$, $\\Large \\frac{17}{18}$, $\\Large \\frac{1}{9}$, $\\Large \\frac{2}{3}$ ordenadas de mayor a menor corresponden a:

A) $\\Large \\frac{2}{3} < \\Large \\frac{17}{18} < \\Large \\frac{1}{9} < \\Large \\frac{5}{6}$

B) $\\Large \\frac{2}{3} < \\Large \\frac{5}{6} < \\Large \\frac{1}{9} < \\Large \\frac{17}{18}$

C) $\\Large \\frac{1}{9} < \\Large \\frac{2}{3} < \\Large \\frac{5}{6} < \\Large \\frac{17}{18}$

D) $\\Large \\frac{5}{6} < \\Large \\frac{17}{18} < \\Large \\frac{1}{9} < \\Large \\frac{2}{3}$

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Para determinar el orden de las fracciones, determinaremos para cada una de ellas su forma decimal (exprese cada resultado con la primera cifra decimal obtenida)

$\\Large \\frac{5}{6}=$[[0]]

$\\Large \\frac{17}{18}=$[[1]]

$\\Large \\frac{1}{9}=$[[2]]

$\\Large \\frac{2}{3}=$[[3]]

Según los números decimales obtenidos anteriormente (puede usar calculadora), ordene de menor a mayor las fracciones anteriores.

[[4]] [[6]] [[8]] [[10]]

_______ $\\LARGE <$ _______ $\\LARGE <$ _______ $\\LARGE <$ _______ $\\LARGE <$

[[5]] [[7]] [[9]] [[11]]

La respuesta es: [[12]]

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"https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "

4) ¿Cuál de los siguientes números racionales se ubica entre el $3$ y el $4$ en la recta numérica?

A) $\\Large \\frac{34}{2}$

B) $\\Large \\frac{3}{4}$

C) $\\Large \\frac{7}{2}$

D) $\\Large \\frac{3}{10}$

Para resolver la pregunta debemos cada fracción transformarla en decimal o entero según corresponda, y aquella donde nos de un número de la forma $3,....$ (donde $.....$ son las cifras decimales) será la fracción que está entre $3$ y $4$.

(Exprese todo el resultado decimal o entero en cada casillero según corresponda)

A) $\\Large \\frac{34}{2}=$[[0]]

B) $\\Large \\frac{3}{4}=$[[1]]

C) $\\Large \\frac{7}{2}=$[[2]]

D) $\\Large \\frac{3}{10}=$[[3]]

La respuesta es:[[4]]

5) Al dividir $\\LARGE \\frac{5}{11}$$\\large :$$\\LARGE \\frac{1}{4}$

A) $\\LARGE \\frac{5}{44}$

B) $\\LARGE \\frac{20}{11}$

C) $\\LARGE \\frac{44}{5}$

D) $\\LARGE \\frac{11}{20}$

Para dividir fracciones debemos calcular usando los siguientes pasos:

\n\n\n\n\n\n\n\n\n\n\n\n

Paso 1: Escribimos la división $\\LARGE \\frac{5}{11}$$\\large :$$\\LARGE \\frac{1}{4}$ como una multiplicación, recordando que será \"la primera fracción multiplicada por la segunda fraccón invertida\".

[[0]] [[2]]

________ $\\cdot$ ________

[[1]] [[3]]

Paso 2: Multiplicamos ahora numerador con numerador y denominador con denominador.

[[4]]

________

[[5]]

La respuesta es: [[6]]

Lee atentamente y responde: El consumo diario de un hervidor de agua es de $0,4$ KW, el de una aspiradora es de $0,36$ WK y el de una lavadora $2,052$ KW. ¿Cuál es el consumo diario de KW al usar estos tres artefactos electrodomésticos?

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Para determinar el total de KW (Kilowatts) consumido en un día debemos sumar los números decimales alienando las comas una debajo de la otra:

(Recuerde que si faltan cifras decimales se agregan 0)

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

[[0]]	$,$	[[1]]	[[2]]	[[3]]
[[4]]	$,$	[[5]]	[[6]]	[[7]]
[[8]]	$,$	[[9]]	[[10]]	[[11]]

\n\n\n\n\n\n\n

$\\LARGE +$__________________________________________

\n\n\n\n\n\n\n\n\n\n\n

[[12]]

$,$

[[13]]

[[14]]

[[15]]

Respuesta: En un día se consumen en total la siguiente cantidad de KW:

\n\n\n\n\n\n\n\n\n\n\n

[[12]]

$,$

[[13]]

[[14]]

[[15]]

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