Lambert Luna
12/04/2023 · High School
b. \( \frac{1}{2}+\frac{\square}{4}-\frac{3}{2}=\frac{5}{4} \)
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Claro, aquí tienes la solución paso a paso para la ecuación:
\[ \frac{1}{2} + \frac{\square}{4} - \frac{3}{2} = \frac{5}{4} \]
1. Primero, combinamos las fracciones con denominador común. En este caso, las fracciones con denominador 2 y 4 tienen que combinarse.
\[ \frac{1}{2} - \frac{3}{2} = -1 \]
2. Ahora, la ecuación se ve así:
\[ -1 + \frac{\square}{4} = \frac{5}{4} \]
3. Para encontrar el valor de \(\square\), sumamos 1 a ambos lados de la ecuación:
\[ \frac{\square}{4} = \frac{5}{4} + 1 \]
4. Convertimos 1 a una fracción con denominador 4:
\[ \frac{\square}{4} = \frac{5}{4} + \frac{4}{4} \]
5. Sumamos las fracciones:
\[ \frac{\square}{4} = \frac{9}{4} \]
6. Para encontrar el valor de \(\square\), multiplicamos ambos lados de la ecuación por 4:
\[ \square = \frac{9}{4} \times 4 \]
7. Simplificamos:
\[ \square = 9 \]
Por lo tanto, el valor de \(\square\) es 9.
Quick Answer
El valor de \(\square\) es 9.
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