Problem

$\frac{x+\frac{1}{2}}{2+\frac{1}{x}}=$

Answer

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Answer

Final Answer: \(\boxed{0.5x}\)

Steps

Step 1 :Given the complex fraction \(\frac{x+\frac{1}{2}}{2+\frac{1}{x}}\)

Step 2 :To simplify it, we can multiply the numerator and the denominator by \(2x\) to get rid of the fractions within the fractions.

Step 3 :This results in the expression \(x^2\).

Step 4 :However, this is not the final answer. We need to divide \(x^2\) by \(2x\) to get the final simplified form of the original expression.

Step 5 :The final simplified form of the original expression is \(0.5x\).

Step 6 :Final Answer: \(\boxed{0.5x}\)

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