I'm trying to figure out a nicer rational expression of the following:
$$\frac{1}{14.5}$$
http://www.wolframalpha.com/input/?i=1%2F14.5
But Wolfram Alpha only gives "rational approximation" $\frac{2}{29}$.
Is this the exact analytic expression or is it really some sort of "approximation"? And if it's an approximation, then why is this number approximated?
Wolfram-alpha treats all decimals as approximation, and all integers as exact values. (Cf. Mathematica)
Therefore, $1/14.5$ is not the exact quantity $2/29$, but a number very close to $2/29$.
If you want Wolfram-alpha to treat your numbers as exact quantities, use integer quotients.