Question
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Jaime se come los \( 7 / 9 \) de una pizza y Laurita los \( 3 / 4 \) del resto. ¿Qué fracción se ha comido Laurita? Seleccione una: a. \( 1 / 6 \) b. \( 12 / 7 \) c. \( 7 / 12 \) d. 3

Ask by Stewart Salazar. in Colombia
Feb 28,2025

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Tutor-Verified Answer

Answer

Laurita se ha comido \( \frac{1}{6} \) de la pizza.

Solution

Para resolver el problema, primero observamos que Jaime se come 7/9 de la pizza, por lo que el "resto" que queda es:   1 – 7/9 = 2/9 Luego, Laurita se come 3/4 de ese resto, es decir:   (3/4) × (2/9) = 6/36 = 1/6 Por lo tanto, Laurita se ha comido 1/6 de la pizza. La respuesta correcta es: a. 1/6

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Primero, calculamos cuánto queda de la pizza después de que Jaime se come \( 7/9 \). Si suponemos que la pizza entera representa 1 (o \( 9/9 \)), entonces lo que queda es: \[ 1 - 7/9 = 2/9. \] Ahora, Laurita se come \( 3/4 \) de lo que queda: \[ 3/4 \text{ de } (2/9) = (3/4) \cdot (2/9) = 6/36 = 1/6. \] Por lo tanto, la respuesta correcta es: **a. \( 1 / 6 \)**.

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