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Reduce a comün denominador las sigulentes fracciones buscando fracciones equivalentes con el mismo denominador. Después, ordenalas usando los signos :0 \( =0 \) \( \begin{array}{llll}\text { a) } \frac{9}{6} & \text { b) } \frac{3}{5} & \text { c) } \frac{6}{9} & \text { d) } \frac{7}{10}\end{array} \)

Ask by Gross Bond. in Spain
Jan 21,2025

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Para ordenar las fracciones \( \frac{9}{6} \), \( \frac{3}{5} \), \( \frac{6}{9} \), y \( \frac{7}{10} \), primero encuentran un común denominador, que es 90. Luego, las fracciones se convierten a: - \( \frac{9}{6} = \frac{135}{90} \) - \( \frac{3}{5} = \frac{54}{90} \) - \( \frac{6}{9} = \frac{60}{90} \) - \( \frac{7}{10} = \frac{63}{90} \) Al comparar los numeradores, el orden de menor a mayor es: \[ \frac{3}{5} < \frac{6}{9} < \frac{7}{10} < \frac{9}{6} \]

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Para reducir a un común denominador, primero identificamos el mínimo común múltiplo (MCM) de los denominadores: 6, 5, 9 y 10. El MCM es 90. Convertimos cada fracción: - a) \( \frac{9}{6} = \frac{135}{90} \) - b) \( \frac{3}{5} = \frac{54}{90} \) - c) \( \frac{6}{9} = \frac{60}{90} \) - d) \( \frac{7}{10} = \frac{63}{90} \) Ahora las fracciones equivalentes son \( \frac{135}{90}, \frac{54}{90}, \frac{60}{90} \) y \( \frac{63}{90} \). Ordenándolas, tenemos: \( \frac{54}{90} < \frac{60}{90} < \frac{63}{90} < \frac{135}{90} \), que equivale a \( \frac{3}{5} < \frac{6}{9} < \frac{7}{10} < \frac{9}{6} \).

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