Question
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18. What is the missing fraction in the following equation? \( 1 \frac{1}{2}-\square=\frac{3}{4} \)

Ask by Li Vargas. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

La fracción que falta es \( \frac{3}{4} \).

Solution

Para resolver la ecuación \( 1 \frac{1}{2} - \square = \frac{3}{4} \), primero convertimos el número mixto \( 1 \frac{1}{2} \) a una fracción impropia. 1. Convertimos \( 1 \frac{1}{2} \): \[ 1 \frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2} \] 2. Ahora la ecuación se convierte en: \[ \frac{3}{2} - \square = \frac{3}{4} \] 3. Para encontrar \( \square \), despejamos la variable: \[ \square = \frac{3}{2} - \frac{3}{4} \] 4. Para restar estas fracciones, necesitamos un denominador común. El mínimo común múltiplo de 2 y 4 es 4. Convertimos \( \frac{3}{2} \) a cuartos: \[ \frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \] 5. Ahora restamos: \[ \square = \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4} \] Por lo tanto, la fracción que falta es: \[ \square = \frac{3}{4} \]

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Extra Insights

To find the missing fraction, start by converting \(1 \frac{1}{2}\) to an improper fraction. This equals \(\frac{3}{2}\). Next, we set up the equation: \[ \frac{3}{2} - \square = \frac{3}{4} \] Now, isolate the missing fraction by rearranging the equation: \[ \square = \frac{3}{2} - \frac{3}{4} \] To subtract these fractions, convert \(\frac{3}{2}\) to have a common denominator of 4: \[ \frac{3}{2} = \frac{6}{4} \] Now, substitute: \[ \square = \frac{6}{4} - \frac{3}{4} = \frac{3}{4} \] Thus, the missing fraction is \(\frac{3}{4}\).

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