Mathis Peters
03/07/2023 · Elementary School

7. Calcula el resuitado en forma de fracción. \( \begin{array}{ll}\text { a) } 4,7-2,83 \cdot 1,5 & \text { c) } 12,6 \hat{4}+4,2: 0,6 \\ \text { b) }(5,724+1,9): 0,54 & \text { d) } 15,75-(1,86-0,2) \cdot 3,8\end{array} \)

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Claro, aquí tienes las soluciones para cada uno de los problemas: a) \( 4,7 - 2,83 \cdot 1,5 \) Primero, calculamos el producto: \[ 2,83 \cdot 1,5 = 4,245 \] Luego, restamos: \[ 4,7 - 4,245 = 0,455 \] La fracción equivalente de 0,455 es: \[ 0,455 = \frac{455}{1000} = \frac{91}{200} \] b) \( (5,724 + 1,9) : 0,54 \) Primero, sumamos los números dentro de los paréntesis: \[ 5,724 + 1,9 = 7,624 \] Luego, dividimos por 0,54: \[ 7,624 : 0,54 = 14 \] La fracción equivalente de 14 es: \[ 14 = \frac{14}{1} \] c) \( 12,6 \hat{4} + 4,2 : 0,6 \) Suponiendo que \( 12,6 \hat{4} \) es un error de escritura y se refiere a \( 12,64 \), primero sumamos: \[ 12,64 + 4,2 = 16,84 \] Luego, dividimos por 0,6: \[ 16,84 : 0,6 = 28,1 \] La fracción equivalente de 28,1 es: \[ 28,1 = \frac{281}{10} \] d) \( 15,75 - (1,86 - 0,2) \cdot 3,8 \) Primero, calculamos la diferencia dentro de los paréntesis: \[ 1,86 - 0,2 = 1,66 \] Luego, multiplicamos por 3,8: \[ 1,66 \cdot 3,8 = 6,348 \] Finalmente, restamos: \[ 15,75 - 6,348 = 9,402 \] La fracción equivalente de 9,402 es: \[ 9,402 = \frac{9402}{1000} = \frac{4701}{500} \] Espero que estas soluciones te sean útiles.

Quick Answer

a) \( 4,7 - 2,83 \cdot 1,5 = \frac{91}{200} \) b) \( (5,724 + 1,9) : 0,54 = \frac{14}{1} \) c) \( 12,64 + 4,2 : 0,6 = \frac{281}{10} \) d) \( 15,75 - (1,86 - 0,2) \cdot 3,8 = \frac{4701}{500} \)
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