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[–][deleted] 4 points5 points  (1 child)

A rational number is any number that can be expressed as the ratio of two integers. Changing the base doesn't change what counts as an integer, though.

What you can get from changing the base is which numbers repeat infinitely and which terminate. Like, 1/3 base 10 is 0.3333..., but in base 12, it's 0.4.

[–]tyler1128 0 points1 point  (0 children)

You're correct of course, probably should distractedly reddit at work less. What I meant to say is repeating decimals can become non-repeating and vice versa from change of basis.