Hamilton Clark
06/07/2023 · Elementary School

\( \frac { 3 } { 8 } \quad \frac { 1 } { 2 } + \frac { 1 } { 4 } \quad \frac { 3 } { 4 } \quad 1 - \frac { 1 } { 4 } \quad \frac { 5 } { 8 } \)

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Claro, aquí tienes la solución al problema matemático proporcionado: Primero, sumamos las fracciones con denominadores comunes: \[ \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \] Luego, restamos la fracción: \[ 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \] Ahora, sumamos todas las fracciones: \[ \frac{3}{8} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{5}{8} \] Para sumarlas, necesitamos un denominador común. El menor común múltiplo de 8 y 4 es 8, así que convertimos todas las fracciones a un denominador de 8: \[ \frac{3}{8} + \frac{6}{8} + \frac{6}{8} + \frac{6}{8} + \frac{5}{8} \] Ahora sumamos los numeradores: \[ \frac{3 + 6 + 6 + 6 + 5}{8} = \frac{26}{8} \] Finalmente, simplificamos la fracción: \[ \frac{26}{8} = \frac{13}{4} \] Entonces, la solución al problema es: \[ \frac{13}{4} \]

Quick Answer

La solución es \( \frac{13}{4} \).
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