(12C) Decimal to Fraction

[Dieter]

(08-09-2018 09:30 AM)Thomas Klemm Wrote:  Maybe I missed something but is there a reason for not using Farey sequences?
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However the decimal number \(q\) to transform must be \(0 < q < 1\).

This should be easy to handle (use 1/input if input>1 and swap numerator and denominator afterwards).
But this also means that you define the largest possible numerator. #-)

I tried this algorithm on the 12C. Here is what I got for pi, using 1/pi as the input:

3,141592653 [1/x] 500 => 113/355 (as expected)
3,141592653 [1/x] 600 => 113/355 (as expected)
3,141592653 [1/x] 700 => 219/688 (?!?)

What's this?

Dieter