The units in which the original measurements were made cancel each other out and the result is 1/137.036, regardless of the measuring system you used in the first place.
Oh. Wow. I was afraid of that...
3 posted on 09/02/2010 7:22:22 PM PDT by April Lexington
(Study the constitution so you know what they are taking away!)
If you truncate precision it comes out to 1/137 exactly, and this did cause consternation. It also drove the strong anthropic theories, until the decimals were added.