(12C) Decimal to Fraction

[Albert Chan]

Hi Thomas,

I was in the middle of typing this, when I see you fixed the code.
Anyway, below illustrated why I request the fix.

Try 0.10322, approx. with fraction, denominator <= 1e8

Using Mathematica, Continued Fraction coefficient = [0,9,1,2,4,1,6,2,1,4,3]

With HP-12C, due to rounding error, I get [0,9,1,2,4,1,6,2,1,4,2,1,64,1,4,3,1,74139, ...]

-> original setup, last 2 quotients = 68773261, 5098833198335
-> the big quotient rounded down in HP-12C to 5098833198000

-> interpolated quotient = 5098833198000 - 74139 * 68773261 = 52401000 (HP-12C rounded)
-> fraction = 5408831 / 52401000 = 0.103219996

The fraction is wrong.
Even with bad continued fraction coefficients, value should be very close to 0.10322

This is what the patched version does to above:
-> fraction = 5408837 / 52401056 = 0.1032200000