To simplify the expression \(\frac{x}{3}/4x\), we can follow these steps:
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Rewrite the expression: \[ \frac{x}{3} \div 4x \]
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Dividing by \(4x\) is the same as multiplying by its reciprocal: \[ \frac{x}{3} \times \frac{1}{4x} = \frac{x}{3 \cdot 4x} = \frac{x}{12x} \]
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We can simplify \(\frac{x}{12x}\) by canceling \(x\) in the numerator and the denominator (assuming \(x \neq 0\)): \[ \frac{1}{12} \]
Since none of the provided options directly give \( \frac{1}{12} \), let’s verify the answers given:
- A. \(1 \cdot 4\sqrt{x}\) simplifies to \(4\sqrt{x}\), which does not equal \(\frac{1}{12}\).
- B. \(x^4\) does not equal \(\frac{1}{12}\).
- C. \(x\) does not equal \(\frac{1}{12}\).
- D. \(4\sqrt{x}\) does not equal \(\frac{1}{12}\).
None of the options provided are equivalent to the simplified expression \(\frac{1}{12}\).
If the original expression needs to be adjusted for a meaningful answer, please double-check the expression to ensure it's correctly formatted. Otherwise, based on the simplification done here, none of the provided options are equivalent to the expression \(\frac{x}{3}/4x\).
1 answer