Question
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11. El resultado de la operación \( \frac{22}{24}\left(-\frac{16}{44}\right) \) es:

Ask by Lynch Hodgson. in Mexico
Feb 27,2025

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Tutor-Verified Answer

Answer

El resultado es \( -\frac{1}{3} \) o \( -0.3 \).

Solution

Calculate or simplify the expression \( \frac{22}{24} \times \left(-\frac{16}{44}\right) \). Calculate the value by following steps: - step0: Calculate: \(\frac{22}{24}\left(-\frac{16}{44}\right)\) - step1: Use the rules for multiplication and division: \(-\frac{22}{24}\times \frac{16}{44}\) - step2: Reduce the numbers: \(-\frac{1}{3}\times 1\) - step3: Multiply: \(-\frac{1}{3}\) El resultado de la operación \( \frac{22}{24}\left(-\frac{16}{44}\right) \) es \( -\frac{1}{3} \) o aproximadamente \( -0.3 \).

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Bonus Knowledge

Primero, simplificamos los números en la operación. El número \( \frac{22}{24} \) se puede reducir a \( \frac{11}{12} \) dividiendo por 2. Asimismo, el \( -\frac{16}{44} \) se simplifica a \( -\frac{4}{11} \) dividiendo por 4. Entonces, la operación se convierte en: \[ \frac{11}{12} \left(-\frac{4}{11}\right) \] Al multiplicar, los 11 se cancelan, resultando en: \[ -\frac{4}{12} \] Al simplificar \( -\frac{4}{12} \), obtenemos \( -\frac{1}{3} \). Así que el resultado de la operación es \( -\frac{1}{3} \).

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