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8. ¿Cuánto le falta a la mitad de \( 8 / 11 \) para ser igual a los \( 5 / 7 \) de los \( 2 / 3 \) de los \( 6 / 11 \) de 7 ? \( \begin{array}{lll}\text { a) } 6 / 11 & \text { b) } 15 / 11 & \text { c) } 20 / 11 \\ \text { d) } 30 / 11 & \text { e) } 12 / 11 & \end{array} \)

Ask by Barrett Mann. in Mexico
Mar 16,2025

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Le falta \( \frac{16}{11} \) a la mitad de \( \frac{8}{11} \) para ser igual a \( \frac{5}{7} \) de \( \frac{2}{3} \) de \( \frac{6}{11} \) de 7.

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Mind Expander

Primero, vamos a calcular cada parte de la expresión. La mitad de \( \frac{8}{11} \) es \( \frac{4}{11} \). Ahora, calculamos \( \frac{5}{7} \) de \( \frac{2}{3} \) de \( \frac{6}{11} \) de 7: 1. \( \frac{6}{11} \) de 7: \( \frac{6 \cdot 7}{11} = \frac{42}{11} \) 2. \( \frac{2}{3} \) de \( \frac{42}{11} \): \( \frac{2 \cdot 42}{3 \cdot 11} = \frac{84}{33} = \frac{28}{11} \) 3. \( \frac{5}{7} \) de \( \frac{28}{11} \): \( \frac{5 \cdot 28}{7 \cdot 11} = \frac{140}{77} = \frac{20}{11} \) Ahora, buscamos cuánto le falta a \( \frac{4}{11} \) para ser igual a \( \frac{20}{11} \): Diferencia = \( \frac{20}{11} - \frac{4}{11} = \frac{16}{11} \). Por tanto, la respuesta correcta es \( \frac{16}{11} \). Sin embargo, revisando las opciones presentadas, parece que hay un error en las respuestas ofrecidas, pero el cálculo es correcto con respecto a la pregunta planteada.

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