Pregunta
Simplify the following expression completely. \[ \frac{x}{8} \cdot \frac{32}{x+3} \]
Ask by Huang Chen. in the United States
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The simplified expression is \( \frac{4x}{x+3} \).
Solución
Calculate or simplify the expression \( \frac{x}{8} \cdot \frac{32}{x+3} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{x}{8}\times \frac{32}{x+3}\)
- step1: Reduce the fraction:
\(x\times \frac{4}{x+3}\)
- step2: Multiply the terms:
\(\frac{x\times 4}{x+3}\)
- step3: Multiply the terms:
\(\frac{4x}{x+3}\)
The simplified expression is \( \frac{4x}{x+3} \).
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Simplifique esta solución Mind Expander
To simplify the expression \( \frac{x}{8} \cdot \frac{32}{x+3} \), we can multiply the fractions together. 1. Multiply the numerators: \( x \cdot 32 = 32x \). 2. Multiply the denominators: \( 8 \cdot (x + 3) = 8(x + 3) \). Now, we have: \[ \frac{32x}{8(x + 3)} \] Next, we can simplify the expression by dividing the numerator and the denominator by 8: \[ \frac{32x \div 8}{8(x + 3) \div 8} = \frac{4x}{x + 3} \] Thus, the simplified expression is: \[ \frac{4x}{x + 3} \]
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