Fraction Sign Classifier
Classify exact fraction sign after normalizing denominator sign, retaining zero as a separate numeric class.
Description
Classify exact fraction sign after normalizing denominator sign, retaining zero as a separate numeric class.
A fraction's sign depends on both written signs. Canonicalizing its denominator makes the result unambiguous.
When to use this tool
Classify exact fraction sign after normalizing denominator sign, retaining zero as a separate numeric class.
- Prepare the supplied numerator, denominator fields for this operation.
- Compare the complete example with the representation used by your own input before carrying the result into another step.
How to use the tool and how it works
- Enter numerator, denominator. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.sign. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Reduce numerator/denominator and make the denominator positive. Return sign -1, 0 or 1 according to the normalized numerator.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| numerator | Exact signed decimal integer text; denominator fields must be nonzero. | Optional + or - and 1 to 256 decimal digits |
| denominator | Exact signed decimal integer text; denominator fields must be nonzero. | Optional + or - and 1 to 256 decimal digits |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.sign | The sign value under the stated formula or text convention. |
{
"input": {
"numerator": "-2",
"denominator": "-3"
},
"output": {
"result": {
"sign": 1
}
}
}Limitations and assumptions
- No decimal approximation is used. A zero denominator is an error rather than an infinite or unsigned value.
- Numerator and denominator fields use exact decimal integer strings of at most 256 digits with an optional sign. Fractions are reduced with a positive denominator before the stated operation.
- All declared input fields are required and unexpected top-level fields are rejected. Numbers must be finite; lists are limited to 128 entries and ordinary text fields to 8,192 UTF-16 code units, with tighter limits where stated.
- JSON text inputs must parse within bounded nesting and size limits. Numeric outputs outside the safe finite range are rejected; large exact integer results use decimal strings. Indexes and half-open spans are zero-based unless a rank is explicitly described as one-based.
Alternative or Complementary methods
Use exact numerator/denominator operations when equality and boundary decisions matter. Convert to a decimal display only with an explicit rounding policy; a rounded display should not replace the exact result.
References
Similar or alternative tools
- Exact Fraction Addition
Exact rational addition using decimal integer text and coprime output; no IEEE-754 precision loss.
- Fraction Base Termination Check
Check exact rational termination in an explicit integer radix 2–36 by removing denominator factors shared with that radix.