Pregunta
Find the missing term in the proportion: \( \frac{n}{2}=\frac{3}{4} \) \( n=\square \)
Ask by Reyes Dunn. in the United States
Feb 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( n = \frac{3}{2} \)
Solución
Solve the equation by following steps:
- step0: Solve for \(n\):
\(\frac{n}{2}=\frac{3}{4}\)
- step1: Multiply both sides of the equation by \(2:\)
\(\frac{n}{2}\times 2=\frac{3}{4}\times 2\)
- step2: Multiply the terms:
\(n=\frac{3\times 2}{4}\)
- step3: Divide the terms:
\(n=\frac{3}{2}\)
To find the missing term \( n \) in the proportion \( \frac{n}{2} = \frac{3}{4} \), we can solve the equation step by step.
1. Start with the equation:
\[
\frac{n}{2} = \frac{3}{4}
\]
2. To eliminate the fraction on the left side, multiply both sides by 2:
\[
n = 2 \cdot \frac{3}{4}
\]
3. Simplifying the right side:
\[
n = \frac{2 \cdot 3}{4} = \frac{6}{4} = \frac{3}{2}
\]
Thus, the missing term is:
\[
n = \frac{3}{2} \quad \text{or} \quad n = 1.5
\]
You can use either form, but the simplest fraction is \( n = \frac{3}{2} \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To find the missing term \( n \) in the proportion \( \frac{n}{2}=\frac{3}{4} \), we can cross-multiply. That means: \[ n \cdot 4 = 3 \cdot 2 \] So, we get: \[ 4n = 6 \] Now, divide both sides by 4: \[ n = \frac{6}{4} = \frac{3}{2} \] Thus, the missing term \( n \) is \( \frac{3}{2} \) or 1.5.
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