Converts a float to a rational number. Because base-2 floats cannot represent all base-10 fractions properly, the results might be different from what you might expect. See The Perils of Floating Point for more information about this.

It is possible to restrict max_decimals to make the result more readable/understandable, at the possible loss of precision. The default value for max_decimals is 10 (Erlang allows values between 0 and 249, see erlang's float_to_list function)

Examples

iex> Ratio.FloatConversion.float_to_rational(10.0)
10
iex> Ratio.FloatConversion.float_to_rational(13.5)
27 <|> 2
iex> Ratio.FloatConversion.float_to_rational(1.1, 100)
2476979795053773 <|> 2251799813685248
iex> Ratio.FloatConversion.float_to_rational(1.1, 3)
11 <|> 10