As $\frac{1}{x} = 3.5 = \frac{7}{2}$, so $x = \frac{2}{7}$.

Then $x+2 = \frac{16}{7}$.

Hence $\frac{1}{x+2} = \frac{7}{16}$.

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Then $x+2 = \frac{16}{7}$.

Hence $\frac{1}{x+2} = \frac{7}{16}$.

*This problem is taken from the UKMT Mathematical Challenges.**View the archive of all weekly problems grouped by curriculum topic*

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