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Editorial Team
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Editorial Team
Asked: May 30, 20262026-05-30T06:03:52+00:00 2026-05-30T06:03:52+00:00

Do you know how to make a rational approximation of a decimal number in

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Do you know how to make a rational approximation of a decimal number in C (similar to rat Matlab function)?

Update

If we want a P/Q approximation of a double number number, a quick fix could be:

int factor=1000000;
P=floor(number*factor);
Q=factor;

The error is less than (number/factor), which is negligible.

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  1. Editorial Team
    Editorial Team
    2026-05-30T06:03:54+00:00Added an answer on May 30, 2026 at 6:03 am

    Continued fractions can be used to calculate rational approximations to real numbers that are optimal in a sense. That way with the input 0.33333333 you have a chance of obtaining 1/3 rather than 3333/10000.

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